Array cameras incorporating optics with modulation transfer functions greater than sensor Nyquist frequency for capture of images used in super-resolution processing

ABSTRACT

A variety of optical arrangements and methods of modifying or enhancing the optical characteristics and functionality of these optical arrangements are provided. The optical arrangements being specifically designed to operate with camera arrays that incorporate an imaging device that is formed of a plurality of imagers that each include a plurality of pixels. The plurality of imagers include a first imager having a first imaging characteristics and a second imager having a second imaging characteristics. The images generated by the plurality of imagers are processed to obtain an enhanced image compared to images captured by the imagers. In many optical arrangements the MTF characteristics of the optics allow for contrast at spatial frequencies that are at least as great as the desired resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some cases may be 1.5, 2 or 3 times the Nyquist frequency.

RELATED APPLICATION

This application is a continuation of U.S. Non-Provisional patent application Ser. No. 13/832,120, entitled “Optical Arrangements for Use with an Array Camera”, filed Mar. 15, 2013, which application is a Continuation in part of U.S. Non-Provisional patent application Ser. No. 13/536,520, entitled “Optical Arrangements for Use with an Array Camera”, which issued Jan. 3, 2013 as U.S. Pat. No. 8,804,255, which claims priority to U.S. Provisional Application No. 61/502,158 filed Jun. 28, 2011. The disclosures of these applications are incorporated herein by reference.

FIELD OF THE INVENTION

The present invention is related to novel optical arrangements, designs and elements for use in an array camera, and more specifically to optical arrangements of varying configurations having modulation transfer function (MTF) characteristics capable of implementing super resolution for use with arrays of image sensors.

BACKGROUND OF THE INVENTION

Image sensors are used in cameras and other imaging devices to capture images. In a typical imaging device, light enters at one end of the imaging device and is directed to an image sensor by an optical element such as a lens. In most imaging devices, one or more layers of optical elements are placed before and after the aperture stop to focus light onto the image sensor. Recently array cameras having many imagers and lenses have been developed. In most cases, multiple copies of the optical elements must be formed laterally for use in array cameras.

Conventionally, optical arrays can be formed by molding or embossing from a master lens array, or fabricated by standard lithographic or other means. However, the standard polymer-on-glass WLO and monolithic lens WLO manufacturing techniques have so far not been adapted for the specific high performance requirements of array cameras. In particular, some technical limitations of conventional WLO-processes need to be reduced, such as, for example, minimum substrate thickness requirements, inflexibility of where to place the aperture stop, accuracy, etc. The flexibility of such choices or processes needs to be increased in order to meet the high demands by array cameras otherwise such WLO techniques cannot be used to manufacture array cameras. Accordingly, a need exists for fabrication processes capable of accurately forming these arrays and for optical arrangements that give an increased flexibility in manufacturing so that the image processing software of these new types of array-type cameras can take advantage to deliver superior image quality at the system level.

The optical transfer function (OTF) of an imaging system (camera, video system, microscope etc.) is considered the true measure of an imaging system's performance, i.e., the resolution (minimum feature size or maximum spatial frequency that can be imaged with sufficient contrast) or image sharpness (the contrast at a given spatial frequency) obtainable by an imaging system. While optical resolution, as commonly used with reference to camera systems, describes only the number of pixels in an image, and hence the potential to show fine detail, the transfer function describes the ability of adjacent pixels to change from black to white in response to patterns of varying spatial frequency, and hence the actual capability to show fine detail, whether with full or reduced contrast. The optical transfer Function (OTF) consists of two components: the modular transfer function (MTF), which is the magnitude of the OTF, and the phase transfer function (PTF), which is the phase component.

In cameras, the MTF is the most relevant measurement of performance, and is generally taken as an objective measurement of the ability of an optical system to transfer various levels of detail from an object to an image. The MTF is measured in terms of contrast (degrees of gray), or of modulation, produced from a perfect source of that detail level (thus it is the ratio of contrast between the object and the image). The amount of detail in an image is given by the resolution of the optical system, and is customarily specified in line pairs per millimeter (Ip/mm). A line pair is one cycle of a light bar and dark bar of equal width and has a contrast of unity. Contrast is defined as the ratio of the difference in maximum intensity (I_(max)) and minimum intensity (I_(min)) over the sum of I_(max) and I_(min), where I_(max) is the maximum intensity produced by an image (white) and I_(min) is the minimum intensity (black). The MTF then is the plot of contrast, measured in percent, against spatial frequency measured in Ip/rm. This graph is customarily normalized to a value of 1 at zero spatial frequency (all white or black).

SUMMARY

The current invention is directed to optical arrangements for use with an array of cameras where the MTF of each of the optical arrangements or stacks for each camera of the array of cameras is at least as high as the desired MTF of the super resolution image synthesized from the combined images of the of cameras of the camera array.

In many embodiments, the camera array includes a plurality of cameras, where each camera includes a separate optics, and a plurality of light sensing elements, and each camera is configured to independently capture an image of a scene;

wherein the optics of each camera are configured so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras so that each shift includes a sub-pixel shifted view of the scene;

wherein the light sensing elements have a pixel pitch defining a Nyquist frequency, and where the optics of each camera have a modular transfer function (MTF) such that the optics optically resolve, with sufficient contrast, spatial frequencies larger than the Nyquist frequency (Ny);

wherein the camera array is a monolithic integrated module comprising a single semiconductor substrate on which all of the sensor elements are formed, and optics including a plurality of lens elements, where each lens element forms part of the separate optics for one of the cameras;

wherein each of the cameras includes one of a plurality of different types of filer; and

wherein cameras having the same type of filter are uniformly distributed about the geometric center of the camera array.

In other embodiments the camera array, includes:

a plurality of cameras, where each camera includes a separate optics, and a plurality of light sensing elements each having a pixel pitch defining a Nyquist frequency (Ny), and each camera is configured to independently capture a low resolution image of a scene;

a processor configured to synthesize a higher resolution image from the plurality of lower resolution images, the high resolution image has a characteristic MTF;

wherein the optics of each camera are configured so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras so that each shift includes a sub-pixel shifted view of the scene;

wherein the optics of each camera have a modular transfer function (MTF) at least as large of the desired MTF of the high resolution image;

wherein the camera array is a monolithic integrated module comprising a single semiconductor substrate on which all of the sensor elements are formed, and optics including a plurality of lens elements, where each lens element forms part of the separate optics for one of the cameras;

wherein each of the cameras includes one of a plurality of different types of filer; and wherein cameras having the same type of filter are uniformly distributed about the geometric center of the camera array.

In still other embodiments, the cut-off MTF of the optics is at least 1.5 times the Ny, at least 2 times the Ny, or at least 3 times the Ny.

In yet other embodiments the optics of each camera include a three-surface optical arrangement includes:

-   -   a first lens element having a first convex proximal surface and         a first concave distal surface, wherein the diameter of the         first convex surface is larger than the diameter of the first         concave surface;     -   a second lens element having a substantially flat second         proximal surface and a second convex distal surface, wherein the         diameter of the flat second proximal surface is smaller than the         diameter of the second convex surface, and wherein the diameter         of the second convex surface is intermediate between the         diameters of the first convex surface and the first concave         surface; and     -   wherein the first and second lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In still yet other embodiments the optics of each camera include a five-surface optical arrangement including:

-   -   a first lens element having a first convex proximal surface and         a first concave distal surface, wherein the diameter of the         first convex surface is larger than the diameter of the first         concave surface;     -   a second lens element having a second concave proximal surface         and a second convex distal surface, wherein the diameter of the         second concave proximal surface is smaller than the diameter of         the second convex surface;     -   a third lens element having a third concave proximal surface and         a third planar distal surface, wherein the diameter of the third         concave proximal surface is larger than the diameters of any of         the surfaces of the first and second lens elements; and     -   wherein the first, second and thirds lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In still yet other embodiments the optics of each camera include a substrate embedded hybrid lens optical arrangement including:

-   -   a substrate having proximal and distal sides;     -   a first monolithic lens element having first proximal and distal         surfaces disposed on the proximal side of said substrate;     -   a second monolithic lens element having second proximal and         distal surfaces disposed on the distal side of said substrate;     -   at least one aperture disposed on said substrate in optical         alignment with said first and second lens elements; and     -   wherein the first and second lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In still yet other embodiments the optics of each camera include a monolithic lens optical arrangement including:

-   -   at least one lens element comprising:     -   a first monolithic lens having first proximal and distal         surfaces, wherein the first proximal surface of the first         monolithic lens has one of either a concave or convex profile,         and wherein the first distal surface of the first monolithic         lens has a plano profile;     -   at least one aperture disposed on the first distal surface of         the first monolithic lens and in optical alignment therewith;     -   a second monolithic lens having second proximal and distal         surfaces, wherein the second proximal surface of the second         monolithic lens has a plano profile, and wherein the second         distal surface of the second monolithic lens has one of either a         concave or convex profile, and wherein the second monolithic         lens is arranged in optical alignment with said aperture; and     -   wherein the first monolithic lens element is in direct contact         with the aperture and the second monolithic lens.

In still yet other embodiments, the optics of each camera include a three-element monolithic lens optical arrangement including:

-   -   a first lens element having a first convex proximal surface and         a first plano distal surface;     -   a second lens element having a second concave proximal surface         and a second convex distal surface;     -   a third menisci lens element having a third concave proximal         surface and a third convex distal surface;     -   at least one aperture disposed on the first plano distal         surface; and     -   wherein the first, second and third lens elements are arranged         sequentially in optical alignment with the aperture stop and an         imager.

In one embodiment, the invention is directed to a three-surface optical arrangement for an array camera. In such an embodiment, the optical arrangement includes:

-   -   a first lens element having a first convex proximal surface and         a first concave distal surface, where the diameter of the first         convex surface is larger than the diameter of the first concave         surface,     -   a second lens element having a substantially flat second         proximal surface and a second convex distal surface, where the         diameter of the flat second proximal surface is smaller than the         diameter of the second convex surface, and where the diameter of         the second convex surface is intermediate between the diameters         of the first convex surface and the first concave surface; and     -   wherein the first and second lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In one embodiment of the three-surface optical arrangement, the surfaces of the first element are separated by a first substrate, and the surfaces of the second element are separated by a second substrate. In another such embodiment, the flat second proximal surface is formed by the second substrate. In still another such embodiment, an aperture stop is disposed on the flat second proximal surface. In yet another such embodiment, at least one aperture is disposed on at least one of the first or second substrates. In still yet another such embodiment, an aperture structure is disposed between said first and second lens elements, comprising at least one aperture substrate having at least one aperture disposed thereon. In still yet another such embodiment, the first and second lens elements and the second lens element and the imager are separated by spacers. In still yet another such embodiment, a filter is disposed on at least one of the first or second substrates. In still yet another such embodiment, at least two of the surfaces of the lens elements are formed from materials having different Abbe-numbers. In still yet another such embodiment, the convex surfaces are formed from crown-like materials, and the concave surfaces are formed from flint-like materials.

In another embodiment of the three-surface optical arrangement, an array of such arrangements are described, where the array is designed to image a selected wavelength band, and where the profile of at least one of the lens surfaces within each optical arrangement is adapted to optimally image only a narrow-band portion of the selected wavelength band such that in combination the plurality of arrangements within the array image the entirety of the selected wavelength band.

In another embodiment, the invention is directed to a five-surface optical arrangement for an array camera. In such an embodiment, the optical arrangement includes:

-   -   a first lens element having a first convex proximal surface and         a first concave distal surface, where the diameter of the first         convex surface is larger than the diameter of the first concave         surface;     -   a second lens element having a second concave proximal surface         and a second convex distal surface, where the diameter of the         second concave proximal surface is smaller than the diameter of         the second convex surface;     -   a third lens element having a third concave proximal surface and         a third planar distal surface, where the diameter of the third         concave proximal surface is larger than the diameters of any of         the surfaces of the first and second lens elements; and     -   where the first, second and thirds lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In one such embodiment of the five-surface optical arrangement the surfaces of the first element are separated by a first substrate, and the surfaces of the second element are separated by a second substrate. In another such embodiment, the third planar distal surface is in contact with one of either the image sensor or a cover glass disposed over the image sensor. In still another such embodiment, an aperture stop is disposed on the first concave distal surface. In yet another such embodiment, an aperture stop is disposed on the first substrate adjacent to the first concave distal surface. In yet another such embodiment, at least one aperture is disposed within the first lens element. In still yet another such embodiment, an aperture structure is disposed between at least two of said lens elements, the aperture structure comprising at least one aperture substrate having at least one aperture disposed thereon. In still yet another such embodiment, the first and second lens elements, and the second and thirds lens elements are separated by spacers. In still yet another such embodiment, a filter is disposed within at least one of the first and second lens elements. In still yet another such embodiment, at least two of the surfaces of the lens elements are formed from materials having different Abbe-numbers. In still yet another such embodiment, the convex surfaces are formed from crown-like materials, and the concave surfaces are formed from flint-like materials. In still yet another such embodiment, an air-gap is positioned between the third lens element and the image sensor. In still yet another such embodiment, at least one substrate is disposed between the surfaces of at least one of the lens elements. In still yet another such embodiment, a substrate is disposed between the third lens element and the imager. In still yet another such embodiment, at least one aperture is disposed on at least one substrate within the lens elements. In still yet another such embodiment, at least one aperture is embedded within the first lens element.

In another embodiment of the five-surface optical arrangement, a plurality of the five-surface optical arrangements is provided in an array. In such embodiment, the array is designed to image a selected wavelength band, and wherein the profile of at least one of the lens surfaces within each optical arrangement is adapted to optimally image only a narrow-band portion of the selected wavelength such that in combination the plurality of arrangements within the array image the entirety of the selected wavelength band.

In another embodiment, the invention is directed to a substrate embedded hybrid lens optical arrangement for an array camera. In such an embodiment, the optical arrangement includes:

-   -   a substrate having proximal and distal sides;     -   a first monolithic lens element having first proximal and distal         surfaces disposed on the proximal side of the substrate;     -   a second monolithic lens element having second proximal and         distal surfaces disposed on the distal side of the substrate;     -   at least one aperture disposed on said substrate in optical         alignment with the first and second lens elements; and     -   wherein the first and second lens elements are arranged         sequentially in optical alignment with an imager positioned at         the distal end thereof.

In another embodiment of the substrate embedded hybrid lens optical arrangement at least two axially aligned apertures are disposed on said substrate. In another such embodiment, the at least two axially aligned apertures are one of either the same or different sizes. In still another such embodiment, at least one coating is disposed on said substrate in optical alignment with said at least one aperture. In yet another such embodiment, the at least one coating is selected from the group consisting of a polarization filter, a color filter, an IRCF filter, and a NIR-pass filter. In still yet another such embodiment, the substrate is formed from a material that acts as a filter selected from the group consisting of a polarization filter, a color filter, an IRCF filter, and a NIR-pass filter. In still yet another such embodiment, the substrate further comprises an adaptive optical element. In still yet another such embodiment, at least two of the lens elements are formed from materials having different Abbe-numbers.

In still another embodiment of the substrate embedded hybrid lens optical arrangement, such an arrangement is part of a wafer stack comprising a plurality of the substrate embedded hybrid lens optical arrangements including:

-   -   a plurality of wafer surfaces formed from the elements of the         arrangements; and     -   at least two alignment marks formed in relation to each wafer         surface, each of said alignment marks being cooperative with an         alignment mark on an adjacent wafer surface such that said         alignment marks when cooperatively aligned aide in the lateral         and rotational alignment of the lens surfaces with the         corresponding apertures.

In yet another embodiment of the substrate embedded hybrid lens optical arrangement, the arrangement is part of an array comprising a plurality of the substrate embedded hybrid lens optical arrangements, where the array is designed to image a selected wavelength band, and wherein the profile of at least one of the lens surfaces within each optical arrangement is adapted to optimally image only a narrow-band portion of the selected wavelength such that in combination the plurality of arrangements within the array image the entirety of the selected wavelength band.

In still another embodiment, the invention is directed to a monolithic lens optical arrangement for an array camera. In such an embodiment, the optical arrangement includes:

-   -   at least one lens element itself comprising:     -   a first monolithic lens having first proximal and distal         surfaces, where the first proximal surface of the first         monolithic lens has one of either a concave or convex profile,         and where the first distal surface of the first monolithic lens         has a plano profile;     -   at least one aperture disposed on the first distal surface of         the first monolithic lens and in optical alignment therewith;     -   a second monolithic lens having second proximal and distal         surfaces, where the second proximal surface of the second         monolithic lens has a plano profile, and where the second distal         surface of the second monolithic lens has one of either a         concave or convex profile, and where the second monolithic lens         is arranged in optical alignment with said aperture; and     -   where the first monolithic lens element is in direct contact         with the aperture and the second monolithic lens.

In another embodiment the monolithic optical arrangement includes at least one filter disposed on said plano surface in optical alignment with said at least one aperture. In still another such embodiment, the monolithic lenses are formed from materials having different Abbe-numbers. In yet another such embodiment, at least two lens elements are formed.

In still another embodiment the monolithic lens optical arrangement is part of an array comprising a plurality of the monolithic optical arrangements, where the array is designed to image a selected wavelength band, and wherein the profile of at least one of the lens surfaces within each optical arrangement is adapted to optimally image only a narrow-band portion of the selected wavelength such that in combination the plurality of arrangements within the array image the entirety of the selected wavelength band.

In yet another embodiment of the monolithic lens optical arrangement, such an arrangement is part of a wafer stack comprising:

-   -   a plurality of wafer surfaces formed from the elements of the         arrangements; and     -   at least two alignment marks formed in relation to each wafer         surface, each of the alignment marks being cooperative with an         alignment mark on an adjacent wafer surface such that the         alignment marks when cooperatively aligned aide in the lateral         and rotational alignment of the lens surfaces with the         corresponding apertures.

In yet another embodiment, the invention is directed to a three-element monolithic lens optical arrangement for an array camera. In such an embodiment, the optical arrangement includes:

-   -   a first lens element having a first convex proximal surface and         a first plano distal surface;     -   a second lens element having a second concave proximal surface         and a second convex distal surface;     -   a third menisci lens element having a third concave proximal         surface and a third convex distal surface;     -   at least one aperture disposed on the first plano distal         surface; and     -   wherein the first, second and third lens elements are arranged         sequentially in optical alignment with the aperture stop and an         imager.

In another embodiment the three-element monolithic optical arrangement includes first and second lens elements that are formed from low dispersion materials and the third lens element is formed from a high dispersion material. In still another such embodiment, at least one filter is disposed on the first plano distal surface in optical alignment with the first lens element. In yet another such embodiment, the first lens element further comprises a substrate disposed on the distal surface thereof. In still yet another such embodiment, at least one aperture is disposed on the distal surface of said substrate. In still yet another such embodiment, at least one filter is disposed on the distal surface of said substrate. In still yet another such embodiment, the second lens element further comprises a substrate disposed between the proximal and distal surfaces thereof.

In still another embodiment the three-element monolithic lens optical arrangement is part of an array comprising a plurality of the three-element monolithic optical arrangements, where the array is designed to image a selected wavelength band, and wherein the profile of at least one of the lens surfaces within each optical arrangement is adapted to optimally image only a narrow-band portion of the selected wavelength such that in combination the plurality of arrangements within the array image the entirety of the selected wavelength band.

In still yet another embodiment, the invention is directed to a plurality of optical arrangements for an array camera including:

-   -   a lens element array stack formed from a plurality of lens         element arrays, each of the lens element arrays being in optical         alignment with each other and a corresponding imager; and     -   where each of the individual lens elements of each of the lens         element stacks is formed from one of either a high or low Abbe         number material, and where the sequence in which one of either a         high or low Abbe number material is used in any individual lens         element stack depends upon the spectral band being detected by         the imager related thereto.

In still yet another embodiment, the invention is directed to a plurality of optical arrangements for an array camera including:

-   -   a lens element array stack formed from a plurality of lens         element arrays, each of said lens element arrays being formed of         a plurality of lens elements;     -   a plurality of structural features integrated into each of the         lens element arrays;     -   where the structural features ensure alignment of the lens         element arrays in relation to each other within the lens element         array stack in at least one dimension.

In one such embodiment of a plurality of optical arrangements the structural features are selected from the group consisting of lateral and rotational alignment features, spacers and stand-offs.

In still yet another embodiment, the invention is directed to a method of compensation for systematic fabrication errors in an array having a plurality of optical channels comprising:

-   -   preparing a design incorporating a nominal shape of one of         either a waveplate or a multilevel diffractive phase element         used for only channel-wise color aberration correction of the         optical channels of the array;     -   fabricating an array lens module based on the design;     -   experimentally determining the systematic deviation of the lens         module from the design based on at least one parameter selected         from the group consisting of lens metrologies, centering,         distance and optical performance;     -   redesigning only the channel-wise color aberration correcting         surfaces of the lens module based on the results of the         experiment;     -   refabricating the lens module based on the redesign; and     -   compensating for any of the systematic deviations remaining         using a back focal length of the lens module.

In still yet another embodiment, the invention is directed to an optical arrangement comprising a plurality of optical channels, each optical channel including at least one optical element, comprising at least two optical surfaces, wherein one of the optical surfaces of each of the plurality of optical channels is a channel specific surface having a wavefront deformation sufficient solely to adapt the optical channel to a selected waveband of light. In one such embodiment, the channel specific surface is selected from the group consisting of waveplates, kinoforms, and radial symmetric multilevel diffractive phase elements.

The features and advantages described in the specification are not all inclusive and, in particular, many additional features and advantages will be apparent to one of ordinary skill in the art in view of the drawings, specification, and claims. Moreover, it should be noted that the language used in the specification has been principally selected for readability and instructional purposes, and may not have been selected to delineate or circumscribe the inventive subject matter.

BRIEF DESCRIPTION OF DRAWINGS

These and other features and advantages of the present invention will be better understood by reference to the following detailed description when considered in conjunction with the accompanying data and figures, wherein:

FIG. 1 is a plan view of a conventional camera array with a plurality of imagers.

FIG. 2A is a perspective view of a camera module in accordance with embodiments of the invention.

FIG. 2B is a cross-sectional view of a conventional module in accordance with embodiments of the invention.

FIG. 3A illustrates a typical plot of the MTF of the optics for a legacy camera cutting-off below the corresponding image sensor's Ny spatial frequency.

FIG. 3B illustrates a plot of MTF of the optics for a camera array having bandlimited optical channels at the Nyquist frequency.

FIG. 3C illustrates a plot of MTF of the optics for a camera array in accordance with embodiments of the invention.

FIG. 4A is a schematic of a three surface two-lens optical arrangement according to one embodiment of the invention.

FIG. 4B is a table of exemplary lenses in accordance with one embodiment of the optical arrangement of FIG. 4A.

FIG. 5A1 is a schematic of a five surface three-lens optical arrangement according to one embodiment of the invention.

FIG. 5A2 is a table of exemplary lenses in accordance with one embodiment of the optical arrangement of FIG. 5A1.

FIGS. 5B to 5H are data plots presenting characteristic performance indicators of the optical arrangement of FIG. 5A1.

FIG. 5I1 is a schematic of a five surface three-lens optical arrangement according to one embodiment of the invention.

FIG. 5I2 is a table of exemplary lenses in accordance with one embodiment of the optical arrangement of FIG. 5I1.

FIG. 5J1 is a schematic of a five surface three-lens optical arrangement according to one embodiment of the invention.

FIG. 5J2 is a table of exemplary lenses in accordance with one embodiment of the optical arrangement of FIG. 5J1.

FIGS. 6A and 6B are schematics of conventional monolithic lens and aperture arrangements.

FIG. 6C is a schematic of a monolithic optical arrangement according to one embodiment of the invention.

FIGS. 6D1 to 6D6 are schematics of monolithic optical arrangements according to various embodiments of the invention.

FIG. 7A is a schematic of a process flow for manufacturing a monolithic optical arrangement according to one embodiment of the invention.

FIGS. 7B to 7D are schematics of monolithic optical arrangements according to various embodiments of the invention.

FIGS. 7E to 7G are schematics of optical arrangements which incorporate monolithic lens elements according to the embodiments of the invention shown in FIGS. 7B to 7D.

FIGS. 8A to 8D are schematics of three element monolithic optical arrangements according to various embodiments of the invention.

FIGS. 8E to 8J are data graphs of characteristic performance indicators of the three-element monolithic optical arrangements according to one embodiment of the invention.

FIGS. 9A and 9B are schematics of conventional injection molded optical arrangement formed of two materials.

FIG. 9C is a schematic of an injection molded optical arrangement formed of two materials according to one embodiment of the invention.

FIG. 9D is a schematic of a conventional polymer on glass wafer level optical arrangement formed of two materials.

FIG. 9E is a schematic of a polymer on glass wafer level optical arrangement formed of two materials according to one embodiment of the invention.

FIG. 10A is a schematic of a conventional polymer on glass wafer level optical arrangement having an integrated aperture stop.

FIG. 10B is a schematic of a polymer on glass wafer level optical arrangement having an integrated aperture stop according to one embodiment of the invention.

FIGS. 11A and 11B are schematics of optical arrangements having preformed spacing and alignment elements according to one embodiment of the invention.

FIG. 12 is a flowchart of a process for manufacturing an optical arrangement according to one embodiment of the invention.

DETAILED DESCRIPTION

Turning now to the drawings, novel optical arrangements for use in an array camera that captures images using a distributed approach using a plurality of imagers (cameras) of different imaging characteristics are illustrated. In many embodiments, each imager (camera) of such a camera array may be combined with separate optics (lens stacks) with different filters and operate with different operating parameters (e.g., exposure time). As will be described, in some embodiments these distinct optical elements may be fabricated using any suitable technique, including, for example, injection molding, precision glass molding, polymer-on-glass wafer level optics (WLO), or monolithic-lens WLO technologies (polymer or glass). In other embodiments, the various lens stacks of the individual cameras and camera array are implemented such that the MTF characteristics of the optics include contrast at a spatial frequency that is at least as large as the resolution of the high resolution images to be synthesized by the array camera from the low resolution images formed from the individual cameras, and significantly greater than the Nyquist frequency of the pixels in the focal plane.

Array cameras including camera modules that can be utilized to capture image data from different viewpoints (i.e. light field images) are disclosed in U.S. patent application Ser. No. 12/935,504 entitled “Capturing and Processing of Images using Monolithic Camera Array with Heterogeneous Imagers” to Venkataraman et al. In many instances, fusion and super-resolution processes such as those described in U.S. patent application Ser. No. 12/967,807 entitled “Systems and Methods for Synthesizing High Resolution Images Using Super-Resolution Processes” to Lelescu et al., can be utilized to synthesize a higher resolution 2D image or a stereo pair of higher resolution 2D images from the lower resolution images in the light field captured by an array camera. The terms high or higher resolution and low or lower resolution are used here in a relative sense and not to indicate the specific resolutions of the images captured by the array camera. The disclosures of U.S. patent application Ser. No. 12/935,504 and U.S. patent application Ser. No. 12/967,807 are hereby incorporated by reference in their entirety.

Each two-dimensional (2D) image in a captured light field is from the viewpoint of one of the cameras in the array camera. Due to the different viewpoint of each of the cameras, parallax results in variations in the position of foreground objects within the images of the scene. Processes such as those disclosed in U.S. Provisional Patent Application No. 61/691,666 entitled “Systems and Methods for Parallax Detection and Correction in Imaged Captured Using Array Cameras” to Venkataraman et al. can be utilized to provide an accurate account of the pixel disparity as a result of parallax between the different cameras in an array. The disclosure of U.S. Patent Application Ser. No. 61/691,666 is hereby incorporated by reference in its entirety. Array cameras can use disparity between pixels in images within a light field to generate a depth map from a reference viewpoint. A depth map indicates the distance of the surfaces of scene objects from the reference viewpoint and can be utilized to determine scene dependent geometric corrections to apply to the pixels from each of the images within a captured light field to eliminate disparity when performing fusion and/or super-resolution processing.

The ultimate spatial resolution limit of a camera is inversely proportional to the pixel size or pitch of the imaging sensor of the camera and is defined as the Nyquist frequency limit. The Nyquist frequency states that the maximum resolution, R, of a system is equal to the inverse of two times the pixel pitch, x, (R=/(2*x)). For a legacy camera very little contrast is desired at spatial frequencies larger than the sensor's Ny, in order to avoid aliasing in the final output image. Accordingly, in a legacy camera the pixel pitch determines the spatial sampling rate, and the corresponding Nyquist frequency (Ny), which is simply one half of the reciprocal of the center-to-center pixel spacing. As such, in a mobile imaging legacy camera, the required MTF for the optics arrangement is usually specified at Ny/4, Ny/2, or Ny, as illustrated in the plot of FIG. 3A, i.e., to be at least optically limited by the pixel pitch.

The challenge in implementing optics for array cameras results from the requirements necessary to achieve the super-resolution processes described above. Of importance is that super resolution should be able to recover a higher resolution final output image than the intrinsic resolution in the input component images from the individual cameras. Generally this requires that the camera optically resolve, with sufficient contrast, spatial frequencies that are actually larger than the Nyquist frequency of the individual sensors. The spatial resolution of a lens may be specified in terms of the modulation transfer function (MTF) curve over a range of spatial frequencies. As previously described, the MTF is a spatial frequency response (SFR) of output signal contrast with input spatial frequency. Performance is measured in terms of contrast or modulation at a particular spatial frequency which is customarily specified in line pairs per millimeter. At low line frequencies, the imaging system typically passes the signal unattenuated, which implies a contrast of 100%. At higher line frequencies, the signal is attenuated and the degree of attenuation in the output signal is expressed as a percentage with respect to that of the input signal, normalized to unity (or 100%) contrast at zero spatial frequency. In other words, the MTF is a measure of the ability of an optical system to transfer various levels of detail from object to image. Accordingly, embodiments of array cameras have more stringent MTF requirements than for legacy cameras, and in particular use optics having MTF characteristics that exceed the spatial resolution (Nyquist frequency) of the pixel pitch of the pixels on a focal plane.

In particular, when multiple copies of an aliased signal are present, as in embodiments of a camera array, it is possible to use the information that is inherently present in the aliasing to reconstruct a higher resolution signal. However, there are slight differences between the aliasing patterns in the different camera images due to the array's sampling diversity. This sampling diversity is the result of slightly different viewing directions of the different cameras within the array, which are either intentionally introduced or result from (positional) manufacturing tolerances. Typically, filters would be introduced to create a bandlimited signal having an MTF near the Ny of the sensor as illustrated in FIG. 3B. However, in embodiments of a camera array aliasing to create a super resolution image is necessary. Accordingly, to provide sufficient contrast in the aliased LR images, the lens MTF needs to be as high as the desired high resolution output MTF from the super resolution processing. As illustrated in FIG. 3C, this requires that the cameras capture content above Ny such that the super-resolution process can then recover the higher resolution information. To address this optics challenge, in many embodiments, the MTF characteristics of the optics in camera arrays are implemented such that images formed include contrast at a spatial frequency that is at least as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane (e.g., in some embodiments from 1.5 to 3 times Ny). In many embodiments, the specific MTF requirement of the optics of the camera array may be determined by the ratio of the resolution of the high resolution image and Nyquist resolution of the individual camera. In other words, in some embodiments optics lens are implemented having a contrast of at least 10%, in some embodiments at least 20%, and in other embodiments at least 30% at a spatial frequency given by the ratio of the number of line-pairs resolved in the final synthesized high resolution image, and the physical size of the low resolution camera image in the same dimension, where the physical size of the low resolution image is a function of the size and number of pixels in the individual camera along the relevant dimension.

Definitions

A sensor element or pixel refers to an individual light-sensing element in a camera array. The sensor element or pixel includes, among others, traditional CIS (CMOS Image Sensor), CCD (charge-coupled device), quantum dot films, high dynamic range pixel, multispectral pixel and various alternatives thereof. The pixel pitch of these sensor elements defines the Nyquist frequency.

An imager refers to a focal plane formed from a two dimensional array of pixels associate with a lens stack formed from a set of optical elements. The sensor elements or pixels of each imager or focal plane have similar physical properties and receive light through the same set of optical components or lens stack. Further, the sensor elements in the each imager/focal plane may be associated with the same color filter.

An imager or camera array refers to a collection of imagers/cameras designed to function as a unitary component. The imager or camera array may be fabricated on a single chip for mounting or installing in various devices.

A lens stack refers to an axial arrangement of several optical components/lens elements.

An optical channel refers to the combination of a lens stack and an imager or focal plane.

A lens or optical array refers to a lateral arrangement of individual lens elements stacks.

An optics or lens stack array refers to a lateral array of lens stacks, or an axial arrangement of multiple lens arrays.

A camera array module refers to the combination of an optics array and an imager array, and can also be defined as an array of optical channels.

Image characteristics of an imager refer to any characteristics or parameters of the imager associated with capturing of images. The imaging characteristics may include, among others, the size of the imager, the type of pixels included in the imager, the shape of the imager, filters associated with the imager, the exposure time of the imager, aperture size of the optics associated with the imager, the configuration of the optical element associated with the imager, gain of the imager, the resolution of the imager, and operational timing of the imager. The characteristics of the optics of a camera refer to at least the field of view (FOV), F-number (F/#), resolution (MTF), effective focal length or magnification, color or waveband, distortion, and relative illumination.

These defined aspects of the embodiments will be described in greater detail below.

Structure of Array Camera

Array cameras in accordance with embodiments of the invention can include a camera module and a processor. FIG. 1 is a plan view of a generic array camera 100, which includes a camera module (110 with an array of cameras orimagers 1A through NM. As shown, a camera module of the type shown is fabricated to include a plurality or array of cameras 1A through NM. In turn, each of the cameras 1A through NM may include a plurality of focal planes and light sensing pixels (e.g., 0.32 Mega pixels). Although the imagers 1A through NM are shown as arranged into a grid format, it should be understood that they may be arranged in any suitable configuration. For example, in other embodiments, the imagers may be arranged in a non-grid format, such as in a circular pattern, zigzagged pattern or scattered pattern.

These array cameras may be designed as a drop-in replacement for existing camera image sensors used in cell phones and other mobile devices. For this purpose, the camera array may be designed to be physically compatible with conventional camera modules of approximately the same resolution although the achieved resolution of the camera array may exceed conventional image sensors in many photographic situations. Taking advantage of the increased performance, the array camera of the embodiment may include an imager with fewer pixels to obtain equal or better quality images compared to conventional image sensors. Alternatively, the size of the pixels in the imager may be reduced compared to pixels in conventional image sensors while achieving comparable results. In some embodiments, the array camera replaces a conventional image sensor of M megapixels. The array camera has (N×N) individual imagers or cameras, each camera including pixels of M/N². Each camera in the camera array may also have the same aspect ratio as the conventional image sensor being replaced.

Array Camera Modules

Camera modules in accordance with embodiments of the invention can be constructed from an imager array and an optic array. Camera modules in accordance with embodiments of the invention are illustrated in FIGS. 2A and 2B. The camera module 200 includes an imager array 230 including an array of focal planes 240 along with a corresponding optic array 210 including an array of lens stacks 220. Within the array of lens stacks, each lens stack 220 creates an optical channel that forms an image of the scene on an array of light sensitive pixels 242 within a corresponding focal plane 240. As is described further below, the light sensitive pixels 242 can be formed from quantum films. Each pairing of a lens stack 220 and focal plane 240 forms a single camera 104 within the camera module. Each pixel within a focal plane 240 of a camera 104 generates image data that can be sent from the camera 104 to the processor 108. In many embodiments, the lens stack within each optical channel is configured so that pixels of each focal plane 240 sample the same object space or region within the scene. In several embodiments, the lens stacks are configured so that the pixels that sample the same object space do so with sub-pixel offsets to provide sampling diversity that can be utilized to recover increased resolution through the use of super-resolution processes. The camera module may be fabricated on a single chip for mounting or installing in various devices.

In several embodiments, an array camera generates image data from multiple focal planes and uses a processor to synthesize one or more images of a scene. In certain embodiments, the image data captured by a single focal plane in the sensor array can constitute a low resolution image (the term low resolution here is used only to contrast with higher resolution images), which the processor can use in combination with other low resolution image data captured by the camera module to construct a higher resolution image through Super Resolution processing, as previously described. Where super resolution is performed then multiple copies of an aliased signal are present, such as in multiple images from the focal planes 240, and the information inherently present in the aliasing may be used to reconstruct the higher resolution signal. One skilled in the art will note that the aliasing patterns from the different focal planes 240 will have slight differences due to the sampling diversity of the focal planes. These slight differences result from the slightly different viewing directions of the cameras used to capture the low resolution images that are either intentionally introduced or result from positional manufacturing tolerances of the individual focal planes. Thus, in accordance with some embodiments of this invention, the MTFs of the lens stacks 220 need to be at least as high as the desired high resolution output MTF to provide sufficient contrast. Accordingly, in many embodiments of an array camera, optics in the lens stack are implemented that have an MTF at least as high as the desired MTF of the super resolution image, i.e., an MTF at which the individual optic channels of the camera array are capable of resolving spatial frequencies above the Nyquist frequency of the pixels on the focal plane. In many such embodiments, the optics have an MTF at which they are capable of resolving spatial frequencies at least 1.5, 2 and/or 3 times the Nyquist frequency of the pixels to allow the super-resolution process to recover higher resolution information unavailable from the individual low resolution images captured at the individual cameras.

Imager Arrays

Imager arrays in accordance with embodiments of the invention can be constructed from an array of focal planes formed of arrays of light sensitive pixels. As discussed above in relation to FIG. 2A, in many embodiments the imager array 230 is composed of multiple focal planes 240, each of which have a corresponding lens stack 220 that directs light from the scene through optical channel and onto a plurality of light sensing elements (the pixel pitch of which define Ny) formed on the focal plane 240. In many embodiments the light sensing elements are formed on a CMOS device using photodiodes formed in the silicon where the depleted areas used for photon to electron conversion are disposed at specific depths within the bulk of the silicon. In some embodiments, a focal plane of an array of light sensitive pixels formed from a quantum film sensor may be implemented. The formation, composition, performance and function of various quantum films, and their use in optical detection in association with semiconductor integrated circuits are described in U.S. Patent Publication US/2009/0152664, entitled “Materials, Systems and Methods for Optoelectronic Devices”, published Jun. 18, 2009, the disclosure of which is incorporated by reference herein in its entirety.

A focal plane 240 in accordance with an embodiment of the invention includes a focal plane array core that includes an array of light sensitive pixels 242 disposed at the focal plane of the lens stack 220 of a camera on a semiconducting integrated circuit substrate 230, such as a CMOS or CCD. The focal plane can also include all analog signal processing, pixel level control logic, signaling, and analog-to-digital conversion (ADC) circuitry used in the readout of pixels. The lens stack 220 of the camera directs light from the scene and onto the light sensitive pixels 242. The formation, architecture and operation of imager arrays and light sensitive pixel arrays, and their use in optical detection in association with array cameras are described in U.S. patent application Ser. No. 13/106,797, entitled “Architectures for Imager Arrays and Array Cameras”, filed May 12, 2011, the disclosure of which is incorporated by reference herein in its entirety.

Imager arrays of this design may include two or more types of heterogeneous imagers, each imager or camera including two or more sensor elements or pixels. Each one of the imagers may have different imaging characteristics. Alternatively, there may be two or more different types of imagers where the same type of imagers shares the same imaging characteristics. For example, each imager 1A through NM in FIG. 1 may be associated with its own filter and/or optical element (e.g., lens). Specifically, each of the imagers 1A through NM or a group of imagers may be associated with spectral color filters to receive certain wavelengths of light. Example filters include a traditional filter used in the Bayer pattern (R, G, B), an IR-cut filter, a near-IR filter, a polarizing filter, and a custom filter to suit the needs of hyper-spectral imaging. In addition, some imagers may have no filter to allow reception of both the entire visible spectra and near-IR, which increases the imager's signal-to-noise ratio. The number of distinct filters may be as large as the number of cameras in the camera array. Embodiments where filter groups are formed is further discussed in U.S. Provisional Patent Application No. 61/641,165 entitled “Camera Modules Patterned with pi Filter Groups” filed May 1, 2012, the disclosure of which is incorporated by reference herein in its entirety. These cameras can be used to capture data with respect to different colors, or a specific portion of the spectrum. In other words, instead of applying color filters at the pixel level of the camera, color filters in many embodiments of the invention are included in the lens stack of the camera. For example, a green color camera can include a lens stack with a green light filter that allows green light to pass through the optical channel. In many embodiments, the pixels in each focal plane are the same and the light information captured by the pixels is differentiated by the color filters in the corresponding lens stack for each filter.

It will be understood that such imager arrays may include other related circuitry. The other circuitry may include, among others, circuitry to control imaging parameters and sensors to sense physical parameters. The control circuitry may control imaging parameters such as exposure times, gain, and black level offset. The sensor may include dark pixels to estimate dark current at the operating temperature. The dark current may be measured for on-the-fly compensation for any thermal creep that the substrate may suffer from.

Optic Arrays

To provide lenses and other optical elements for implementation in the lens stacks of the optical arrays any suitable optical technology may be employed capable of forming a lens stack with a suitable MTF, i.e., an optic MTF at least as high as the MTF of the high resolution image to be obtained via super resolution. To determine the suitability of optical elements and lens stacks, each lens stack 220 may be specified in terms of its MTF curve over a range of spatial frequencies. As the MTF is a Spatial Frequency Response (SFR) of the output signal contrast with the input spatial frequency, it is possible to determine the frequencies that can be optically resolved with sufficient frequency by the individual optical elements and lens stacks.

One skilled in the art will understand that any lens system will demonstrate a number of MTF curves depending on the operating conditions of the camera (such as aperture size) and the spatial frequency being resolved. The MTF might also be impacted by the type of scene being imaged (for example, there is often a spread in the MTF curve between a lenses ability to resolve meridional and sagittal lines). Finally, a lens system may demonstrate various levels of spatial resolution as you proceed from the center of image outward. In many embodiments of an array camera, optics are selected such that the individual cameras of the camera array are able to spatially resolve at frequencies above the Nyquist frequency of the pixels across all imaging conditions and locations on the lens to allow the super-resolution process to recover higher resolution information under all conditions and camera settings. In other embodiments, however, lens stacks and optical elements are contemplated that demonstrate an MTF sufficiently high to allow for the camera to spatially resolve at frequencies above the Nyquist frequency of the pixels across only some imaging conditions and camera settings. A detailed description of various optical elements for use in camera arrays is provided below.

FIG. 2A illustrates a perspective view of one array camera assembly 200 that incorporates an optics array 210 with an imager array 230. As shown, the optics array 210 generally includes a plurality of lens stacks 220 (which furthermore may consist of several axially aligned lens elements), each lens stack 220 covering (in the shown example) one of twenty-five imagers 240 in the imager array 230.

FIG. 2B illustrates a sectional view of a camera array assembly 250. As shown, in such a design the camera assembly 250 would comprise an optics array including a top lens wafer 262 and a bottom lens wafer 268, and an imager array including a substrate 278 with multiple sensors and associated light sensing elements formed thereon. Spacers 258, 264 and 270 are also included to provide proper positioning to the various elements. In this embodiment the camera array assembly 250 is also packaged within an encapsulation 254. Finally, an optional top spacer 258 may be placed between the encapsulation 254 and the top lens wafer 262 of the imager array; however, it is not essential to the construction of the camera assembly 250. Within the imager array, individual lens elements 288 are formed on the top lens wafer 262. Although these lens elements 288 are shown as being identical in FIG. 2B, it should be understood that within the same camera array different types, sizes, and shapes of elements may be used. Another set of lens elements 286 is formed on the bottom lens wafer 268. The combination of the lens elements on the top lens wafer and bottom lens wafer form the lens stacks 220 shown in FIG. 2A.

In these types of camera arrays, through-silicon vias 274 may also be provided to paths for transmitting signal from the imagers. The top lens wafer 262 may be partially coated with light blocking materials 284 (e.g., chromium, oxidized (“black”) chromium, opaque photoresist) to block of light. In such embodiment, the portions of the top lens wafer 262 of the optics array not coated with the blocking materials 284 serve as apertures through which light passes to the bottom lens wafer 268 and the imager array. Although only a single aperture is shown in the embodiment provided in FIG. 2B, it should be understood that, in these types of camera arrays, additional apertures may be formed from opaque layers disposed on any and all of the substrate faces in the camera assembly to improve stray light performance and reduced optical crosstalk. In the example shown in FIG. 2B, filters 282 are formed on the bottom lens wafer 268 of the optics array. Light blocking materials 280 may also be coated on the bottom lens wafer 268 of the optics array to function as an optical isolator. A light blocking material 280 may also be coated on the substrate 278 of the imager array to protect the sensor electronics from incident radiation. Spacers 283 can also be placed between the bottom lens wafer 268 of the optics array and the substrate 278 of the imager array, and between the lens wafers 262 and 268 of the optics array. In such array cameras, each layer of spacers may be implemented using a single plate.

Although not illustrated in FIG. 2B, many such camera arrays also include spacers between each optical channel located on top of the top lens wafer 262 of the optics array that are similar to, or implemented in single layer with, the spacer 258 shown at the edge of the lens stack array. As is discussed further below the spacers can be constructed from and/or coated in light blocking materials to isolate the optical channels formed by the wafer level optics. Suitable light blocking materials may include any opaque material, such as, for example, a metal material like Ti and Cr, or an oxide of these materials like black chromium (chrome and chrome oxide), or dark silicon, or a black particle filled photoresist like a black matrix polymer (PSK2000 from Brewer Science).

There are a number of advantages that can be realized by using smaller lens elements with these array cameras. First, the smaller lens elements occupy much less space compared to a single large lens covering the entire camera array 230. In addition, some of the natural consequences of using these smaller lens elements include, improved optical properties by reduced aberrations, in particular chromatic aberrations, reduced cost, reduced amount of materials needed, and the reduction in the manufacturing steps. A full discussion of these advantages may be found in U.S. Patent Publication No. US-2011-0080487-A1, the disclosure of which is incorporated herein by reference.

Because of the distributed approach of the array camera, and the resultant relaxed total track length requirement (since the array camera by its nature is much shorter than a comparable classical objective), it is possible to adopt novel optical design approaches for the lens channels of an array camera rather than just using arrays of conventional optical designs. In particular, many embodiments are directed to optic arrangements capable of MTF characteristics such that images formed on a focal plane include contrast at a spatial frequency that is at least greater than the resolution of high resolution images synthesized by the array camera during super resolution, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, and in some cases as much as 1.5 to 3 times the Nyquist frequency. These novel arrangements will be described in detail below, however, it should be understood that other optical arrangements that incorporate the improvements set forth herein may be used with the camera arrays described herein.

Embodiment 1: Three-Surface WLO Design

Traditional wafer level optics (WLO) is a technology where polymer lenses are molded on glass wafers, potentially on both sides, stacked with further such lens wafers by spacer wafers, and diced into lens modules (this is called “polymer on glass WLO”) followed by packaging of the optics directly with the imager into a monolithic integrated module. As will be described in greater detail below, the WLO procedure may involve, among other procedures, using a wafer level mold to create the polymer lens elements on a glass substrate. Usually this involves incorporating apertures, and in particular the aperture stop by providing openings centered with the later lens channels in an otherwise opaque layer onto the substrate before lens molding.

In a first embodiment, a three-surface optical arrangement suitable for the fabrication by wafer level optics technology, and, in particular, to be used for the optics (as one of the multiple channels) of an array camera is described in reference to FIG. 4A. More specifically, in a standard two-element lens, as shown in FIGS. 2 and 3, there are typically four lens surfaces (front and back for the top and the bottom lenses). In contrast, in this total-track-length-relaxed but MTF-performance optimized design, the third surface (first side of second element) has very low refractive power. As a result, it is possible to omit it from the design entirely. The result is a three surface design, which leads to a less expensive lens, due to less required process steps, and improved yield because of less contributors to the yield multiplication. In addition, since only lenses that have shapes which appear close to spherical- or parabolic profiles (monotonous profiles, no wings) are applied in a specific axial arrangement, centered around the aperture stop, only weak ray bending occurs at all the refractions on air-lens or lens-air interfaces. The result of this arrangement is a relaxed sensitivity with respect to centering-, thickness-, distance-, or lens shape form error tolerances. As shown in FIG. 4A, the rays for the different field heights more or less transmit perpendicularly, and are thus not strongly refracted through the lens surfaces. However, in such an arrangement it is very important to find an optimum position where the angle of incidence (AOI) on the glass substrate is minimal so that the shift of the band edges due to the AOI is minimized for any dielectric filter system (e.g. for IR cut-off), which is applied on substrates within the lens stack.

As shown FIG. 4A, the three-surface optical arrangement is identified by first 400 and second lens elements 402, which are arranged sequentially along a single optical path 403. It should be understood that for construction purposes, each lens element may optionally be associated with a corresponding supporting substrate 404 and 406, made from example of glass, upon which the polymer lens surfaces are formed. In addition, spacer elements (not shown) that can serve to mechanically connect the lens elements to each other and/or to the image sensor may also be included in the construction. Although any suitable material may be used, in one embodiment the lens surfaces are made from a (UV- or thermally curable) polymer.

Turning to the construction of the lens elements themselves, in the first lens element 400, there is a convex surface 408 of a first diameter on the first side of the first element and a concave surface 410 of a second diameter on the second side of the first element. Preferably the diameter of the first side is larger than the diameter of the second side of the first lens element. In the second element 402, there is a shallow or flat surface 412 on the first side of the second element, and a convex surface 414 on the second side of the second element. Preferably, the diameter of the first side of the second element is smaller than the diameter of the second surface of the second element, and that the diameter of the second side of the second element is intermediate between the diameters of the first and second sides of the first element. In addition, the system aperture or stop (not shown) is preferably disposed on the first side of the second element.

Although not shown in the diagram, a (thin) first spacing structure (not shown) is placed in between the two lens elements, which can be either incorporated into the respective lens surfaces (“stand-offs”), or can be an additional element. Likewise, a (thick) second spacing structure connecting the second side of the second lens element with the cover glass or package 416 of the image sensor 417 may also be provided. Both spacing structures are preferably opaque, or have opaque surfaces, at least at the inner side-walls, and provide partial optical isolation between adjacent optical channels. FIG. 4B provides a lens table for an exemplary embodiment of the three-surface optical arrangement in accordance with the current invention.

Although the basic construction of the three-side optical arrangement is described above, it should be understood that other features and structures may be incorporated into the lens elements to provide additional or enhanced functionality, including:

-   -   The inclusion of additional apertures within the lens stack (in         particular on the glass substrates underneath the polymer         lenses).     -   Channel specific filters, such as, for example, organic color         filter arrays “CFA” and/or structured dielectric filters, such         as, for example, IR cut-off, NIR-pass, interference color         filters. These filters may be arranged within the stack of the         first and the second lens element, preferably in a surface close         to the system aperture.     -   Partial achromatization of the individual         narrow-spectral-band-channels may be accomplished by combining         different Abbe-number materials for the different lens surfaces,         such as, for example, “crown-like” materials for the two convex         surfaces on the outsides of the optical arrangement, and         “flint-like” materials for the potentially two (concave)         surfaces on the inner sides of the two lens elements (as is         further described in Embodiment 6, below).     -   Optimization of different color channels to their specific         narrow spectral band may be accomplished by adapting (at least)         one lens surface profile within the optical arrangement to that         color to correct for chromatic aberrations. (For a full         discussion see, e.g., U.S. patent application Ser. No.         13/050,429, the disclosure of which is incorporated herein by         reference.)

There are several features of this novel three-surface optical arrangement that render it particularly suitable for use in array cameras. First, the optical arrangement is designed in such a way that very high contrast at the image sensor's Nyquist spatial frequency is achieved, which at the same time (for gradual fall-off of contrast with increasing spatial frequency) provides sufficient contrast at 1.5× or 2× the sensor's Nyquist frequency to allow the super-resolution image information recovery to work effectively. Second, the optical arrangement is optimized for allowing a small lateral distance between adjacent optical channels in order to economically exploit the die real-estate area, consequently the lens diameters should be small, as should the wall-thickness of the (opaque) spacer structures. Third, optical channels within one array dedicated to imaging different “colors” (parts of the overall wavelength spectrum to be captured) may differ with regard to the particular surface profile of at least one lens surface. The differences in the surface profiles of those lenses in one array can be minor, but are very effective in keeping the back focal length (“BFL”) color-independent, and consequently allowing (almost) equally sharp images for the different colors without the costly need for wide-spectral-band achromatization. Moreover, after computational color-fusion a high-resolution polychromatic image can be achieved. In particular, preferably the last surface in the lens stack (here—second surface of second element) is specifically optimized for the narrow spectral band of the respective color channel. Fourth, the above design approaches result in a (partial—as far it can be the case for the given non-symmetry between object- and image space) symmetry of the lens system around the aperture stop, which helps to reduce certain types of aberrations, including, distortion, coma and lateral color.

The benefits of this array-dedicated design of the single channels of the array camera include:

-   -   The ability to provide high resolution with as few as two         elements, and with only three surfaces of refractive power         within the two elements,     -   Increased simplicity of the lens shapes,     -   Reduced fabrication tolerance sensitivity due to reduced ray         bending.     -   Low CRA, due to relaxed total track length requirement.     -   Low color cross-talk, due to color filters differentiating the         different optical channels rather than having a Bayer pattern on         the pixel level performing this task.     -   Low pixel cross-talk, due to the smaller pixel stack height.     -   Reduced color inhomogeneity, due to the color filters being         farther from the image plane.     -   Low inter-channel cross-talk, because of the long back focal         length, which allows a thick opaque second spacer compared to         thin transparent substrate.     -   Fewer monochromatic aberrations, as a result of the smaller         lenses, because many of these aberrations scale with lens size         ^2-^4.     -   Separate color channels that only need to be optimized for their         respective spectral bands, resulting in higher overall         polychromatic resolution while minimizing the achromatization         requirements within the individual channels, again resulting in         simpler overall aberration balancing or correction processes and         simpler lenses, and/or better MTF, and/or lower F/#. In many         embodiments the MTF characteristics of the three-surface optical         arrangement allow for contrast at spatial frequencies that are         at least as great as the resolution of the high resolution         images synthesized by the array camera, and significantly         greater than the Nyquist frequency of the pixel pitch of the         pixels on the focal plane, which in some embodiments may be 1.5,         2 or 3 times the Nyquist frequency.     -   Higher yield during manufacture, because the smaller lenses mean         smaller sag (i.e., vertex height) of the lenses, which leads to         less shrinkage and the ability to use less complex replication         technology.         Embodiment 2: Five-Surface WLO Design

In a second embodiment, a five-surface optical arrangement suitable for the fabrication by wafer level optics technology, and, in particular, to be used for the optics (as one of the multiple channels) of an array camera is described in reference to FIGS. 5A to 5J. More specifically, this embodiment is directed to a five-surface high-resolution wafer level lens/objective having a field-flattening element close to the image plane. Again, in a standard two-element lens, as shown in FIGS. 2 and 3, there are typically four lens surfaces (front and back for the top and the bottom lenses). However, these optical arrangements are non-ideal for use in high resolution array cameras. Ideally, there would be a reduced requirement on small maximum CRA of the optics by the image sensor (allowing much larger angles of incidence on the same), for example, by using BSI or quantum film sensors (quantum film having the additional advantage of an increased fill factor not requiring microlenses, which otherwise require an air gap in front of the image sensor in order for the microlenses to provide refractive power). Finally, regular lens designs have stronger small total track length requirements, which would render the overall camera length shorter than necessary for an array camera, since the array camera is much shorter than a comparable classical objective by concept. In contrast, in this design five surfaces are used. The large number of degrees of freedom in the five-surface design allows for achromatization for the full visible spectral band (or other band of interest), so that channel-specific lens profiles are not necessarily required. However, even though the back focal length may be kept constant over the spectral band of interest, the effective focal length and with it the magnification may vary.

As shown in FIG. 5A, in one embodiment the five-surface optical arrangement is identified by first 500, second 502, and third 504 lens elements arranged sequentially along a single optical path 505. It should be understood that for construction purposes, each lens element may optionally be associated with a corresponding supporting substrate 506, 508 & 510, made from example of glass, upon which the polymer lens surfaces are formed. In addition, spacer elements (not shown) that can serve to mechanically connects the lens elements to each other and/or to the image sensor may also be included in the construction. Although any suitable material may be used, in one embodiment the lens surfaces, i.e., the volume between the surface of the lens and the underlying substrate, are made from a (UV- or thermally curable) polymer.

Turning to the construction of the lens elements themselves, the first lens element 500 has a convex surface 512 having a first diameter, and a concave surface 514 having a second diameter. Preferably the diameter of the convex surface is greater than the diameter of the concave surface on this lens element. The second lens element 502 has a concave surface 516 on the first side of the second lens element, and a convex surface 518 on the second side of the second element. In this second lens element, preferably the convex surface thereof is of a larger diameter when compared to the concave surface thereof. The third lens element 504 has a concave surface 520 on the first side of the third lens element, and a second planar side 522 that is adjoined to the substrate that serves as the image sensor cover 510. Typically, the diameter of the concave surface of the third lens element is larger than the diameters of any of the surfaces of the first and second lens elements.

In terms of arrangement, a first spacing structure (not shown) is disposed in between the first 500 and the second 502 lens elements. Likewise, a second spacing structure (not shown) is disposed in between the second 502 and the third 504 lens elements. Either of these spacers may be either incorporated (also split) into the respective lens surfaces (“stand-offs” in which the lenses then can be glued directly together), or can be an additional element. In addition, both of these spacing structures are preferably opaque (or have opaque surfaces, at least at the (inner) side-walls), and provide (partial) optical isolation between adjacent optical channels. The third lens element 504 is disposed comparatively close to the image surface 524, and the second side of the third lens element is preferably connected with the image sensor or image sensor cover glass by a transparent areal bond or a local bond (e.g. UV- and/or thermally curing adhesive), or even a (−n opaque) spacing structure with transparent openings as described above.

In summary, FIG. 5A1, discussed above, demonstrates a five-surface optical arrangement disposed on a large-sag field flattener on a regular-thickness image sensor cover glass. In particular, there is no air gap between the field flattener 504 (or its substrate, or the sensor cover glass, respectively) and the image sensor 524. In front of the field flattener is the actual focusing objective comprised of first 500 and second 502 lens elements, ideally containing two concave surfaces close to the system aperture more or less symmetrically surrounded by two convex surfaces. An exemplary lens table associated with this design is provided in FIG. 5A2.

FIGS. 5B-H present some characteristic performance indicators of the five-surface optical arrangement shown in FIG. 5A1. In particular, FIG. 5B provides a data graph of the Strehl ratio showing that the lens is diffraction limited over the full field height (@ F/2.4 and diagonal full FOV of 56°). FIG. 5C provides a data graph showing that in a comparison of MTF vs. field there is virtually no loss of performance with increasing field height. FIG. 5D provides a data graph of the polychromatic diffraction encircled energy, and demonstrates that most of the focused light energy is within the Airy disk. FIG. 5E provides a spot diagram demonstrating that the lens almost appears to be isoplanatic where there is little change of spot size and shape with field height. FIG. 5F provides a data graph of MTF vs. spatial frequency, and shows that for small and intermediate field heights there is still 15-20% contrast even at 500 LP/mm. FIG. 5G provides data graphs showing that the lens design demonstrates acceptable and monotonous distortion. Finally, FIG. 5H provides a relative illumination plot, demonstrating that the optical arrangement shows the usual vignetting behavior.

These data results show that for this particular design family, due to the strong degree of achromatization, there is very little performance loss using the green channel for red and blue spectra. In other words, the system is already well achromatized for the full visible spectrum. Accordingly, there is not much benefit when optimizing the green and red channels specifically rather than just using the green one. Explicit full visible optimization is very promising as well, i.e., no differences between the channels are required. Furthermore, from these results it is possible to recognize that optimizing a lens for the full visible spectrum, but using only the red, green and blue bands separately will improve performance even beyond what is seen from the visible-polychromatic MTF, Strehl-ratio and Encircled energy plots. This is because fewer wavelengths contribute to each color channel's polychromatic blur. Moreover, this effect becomes more significant the more lateral color dominates the polychromatic blur over axial color, since then the difference between colors is mostly reflected in a difference of magnification or focal length as described above rather than different blur sizes. In short, the largest benefit of these features is that all channels could be the same, simplifying the array mastering considerably.

Although the above discussion has focused on an embodiment of a five-surface optical arrangement with no air gap between the field flattener and the imager, it should be understood that alternative embodiments incorporating air gaps may be made in accordance with this invention. These embodiments are advantageous because they may be combined with regular image sensors which can have fill factor enhancing microlenses and a limited maximum CRA of around 30°. For Example, FIGS. 5I1 and J1 provide diagrams of two such embodiments, which will be described below.

The embodiment shown in FIG. 5I1 is a five-surface optical arrangement that allows for an air gap 526 between the sensor cover glass 510 (on which the field flattener 528 is positioned) and the image sensor 524. This is usually required when fill factor enhancing plenses are applied on top of the image sensor 524. As a result of the presence of the air gap, the chief ray angle needs to be reduced over the embodiment shown in FIG. 5A1. Although there are no constraints made on lens vertex heights and minimum glass thicknesses, lens TTL increases and image performance reduces due to the requirement of a reduced maximum CRA. However, ray calculations indicate that even in this embodiment the CRA of the inventive optical arrangement meets regular sensor specifications (in the order of magnitude of 27-28° in air). An exemplary lens table associated with this design is provided in FIG. 512.

FIG. 5J1 provides a schematic of an embodiment of a five-surface optical arrangement optimized for best possible manufacturability. In particular, in this embodiment the lens sags are decreased, and lens material planar base layers 532, 534, 536, 538 and 542 having suitable thicknesses are provided. It should be understood that for construction purposes, each lens element may optionally be associated with a corresponding supporting substrate 533 & 533′, 537 & 543 made from example of glass, upon which the polymer lens surfaces and base layers may be formed. In addition, spacer elements (not shown) that can serve to mechanically connect the lens elements to each other and/or to the image sensor may also be included in the construction.

In addition, the system aperture 540 is sandwiched (or “embedded”) between two glass substrates 533 and 533′ in order to decrease the necessary polymer thickness of the adjacent lens surfaces. Finally, a glass substrate 543 is provided between the field flattener lens surface 544 and the imager package, including the image sensor glass cover 545 and the image sensor 546 (with air gap 548). Although an even split of 50/50 is shown in FIG. 5J1, the thickness between the glass substrate 543 and the image sensor cover glass 545 may be shared by any reasonable ratio (which allows sufficient thickness for both). Cover glass as needed for the imager may also be provided. All of these elements may then be immersed and bonded together by a suitable adhesive during manufacture. Again, in this embodiment the CRA meets regular sensor specifications (in the order of magnitude of 27-28° in air). An exemplary lens table associated with this design is provided in FIG. 5J2.

Although the basic construction of the five-surface optical arrangement is described above, it should be understood that other features and structures may be incorporated into the lens elements to provide additional or enhanced functionality (references are to FIG. 5A1), including:

-   -   The system aperture (Stop) may be disposed either on the second         side of the first element 500, or on the corresponding side of         the respective glass substrate, or embedded within the first         lens element 500 (e.g. sandwiched between two thinner glass         substrates that have been structured with an aperture array on         the inner side, then glued together). In such an embodiment, the         lenses of the element would be replicated on this aperture         sandwich.     -   As discussed above, other implementations of this general design         may have either no air gap or a thin air gap between the third         lens element 504 and the photosensitive surface (or interface         thereto) of the image sensor 524. Such a design allows this         optical arrangement to operate with regular image sensors,         specifically those with fill factor-enhancing microlenses, and         image sensors with conventional CRA. However, this results in         longer TTL and only moderate image quality compared to versions         without the discussed air gap. In particular, the CRA needs to         be moderate when there is an air gap at this location, because         otherwise there can be (partly) total internal reflection at the         interface between the higher refractive index third lens element         504 and the air gap, or such a strong refraction outwards that         strong aberrations occur, i.e., rays may be fanned out rather         than focused.     -   Several additional apertures may also be disposed within the         stack, and, in particular, on the glass substrates underneath         the polymer lenses where applicable.     -   Channel specific filters may also be arranged within the stack         of the first 500 and the second 502 lens element, preferably in         a surface close to the system aperture. Such filters may         include, for example, organic color filter array “CFA” and/or         structured dielectric filters, such as, IR cut-off or NIR-pass         interference color filters.     -   Partial achromatization of the individual         narrow-spectral-band-channels may be accomplished by combining         different Abbe-number materials for the different lens surfaces.         Preferably “crown-like” materials would be used for the two         convex surfaces on the outsides of the two first lens elements         and “flint-like” materials for the two concave surfaces on the         inner sides of the two first lens elements (See Embodiment 6).     -   Optimization of the different color channels to their specific         narrow spectral band may also be accomplished by adapting at         least one lens surface profile within the optical arrangement to         that color to correct for chromatic aberrations. (For a full         discussion see, e.g., U.S. patent application Ser. No.         13/050,429, the disclosure of which is incorporated herein by         reference.)

There are several features of this novel five-surface optical arrangement that render it particularly suitable for use in array cameras. First, the optical arrangement is designed in such a way that very high contrast at the used image sensor's Nyquist spatial frequency is achieved, which at the same time (for gradual fall-off of contrast with increasing spatial frequency) provides sufficient contrast at 1.5× or 2× the sensor's Nyquist frequency to allow the super-resolution image information recovery to work effectively. Second, the optical arrangement is optimized for allowing a small lateral distance between adjacent optical channels in order to economically exploit the die real-estate area, consequently the lens diameters and the wall-thickness of (opaque) spacer structures may be reduced. However, for the field flattening structure itself this is sometimes difficult to achieve. The reason for this is that the proximity of this lens surface to the image sensor requires a lens having a diameter on the order of magnitude of the image circle (scaled by the distance between the two). In order to relax this requirement the field flattener can be designed and implemented in a non-rotational-symmetric way. This results in a rectangular rather than circular footprint of this lens surface. Thus the lens would have a large lateral extension along the corners (=image sensor diagonal), thereby allowing multiple lens surfaces within one array to be situated much closer together in x-y and thus allowing an overall smaller pitch between the channels. Third, optical channels within one array dedicated to imaging different “colors” (parts of the overall wavelength spectrum to be captured) may differ in the particular surface profile of at least one lens surface. The differences in the surface profiles of those lenses in one array can be minor, but are very effective in order to keep the back focal length (“BFL”) color-independent, and consequently allow (almost) equally sharp images for the different colors without the costly need for wide-spectral-band achromatization. Moreover, after computational color-fusion a high-resolution polychromatic image can still be achieved. Here, preferably the first surface of the first lens element would be specifically optimized for the narrow spectral band of the respective color channel.

The benefits of this array-dedicated design of the single channels of the array camera include:

-   -   Extremely high image quality, both in terms of resolution and         contrast, and image quality homogeneity over the field of view         (close to diffraction limited performance and close to         isoplanatically);     -   A reduced TTL;     -   A reduced fabrication tolerance sensitivity due to reduced ray         bending;     -   Low color cross-talk, due to color filters now being         differentiating the different optical channels rather than         having a Bayer pattern on the pixel level;     -   Low pixel cross-talk, due to smaller pixel stack height); and     -   Reduced color inhomogeneity, due to the color filters being far         from the image plane.

Finally, of particular note in this design is the fact that the separate color channels only need to be optimized for their respective spectral bands. This results in overall higher polychromatic resolution, while minimizing the need for achromatization correction within the individual channels. This in turn leads to the ability to implement simpler overall aberration balancing or correction process, and therefore have simpler lenses and lens manufacturing processes, and/or better MTF, and/or lower F/#. In many embodiments the MTF characteristics of the five-surface optical arrangement allow for contrast at spatial frequencies that are at east as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some embodiments may be 1.5, 2 or 3 times the Nyquist frequency.

Embodiment 3: Monolithic Lens Design with Embedded Substrate

The embodiments previously discussed dealt with lenses made in accordance with a polymer on glass WLO process. In the following embodiment optical arrangements and designs using a monolithic lens WLO process are provided. In particular, in a first embodiment a monolithic lens stacked with planar substrates for use in forming apertures and filters is described.

FIG. 6A shows the current state of the art of monolithic lens systems. More or less the same conceptual approach is taken as in creating injection-molded lenses and their packaging. In the state of the art of monolithic lens WLO, many lenses are fabricated on a wafer scale. These replicated lenses 600 are stacked with other previously replicated lens wafers of different topology, the sandwich is diced, and the lens cubes are packaged into an opaque housing 602 with the image sensor 604, which contains the aperture stop 606 at the front as shown in FIG. 6A. This very much limits the degrees of freedom available for the optical design of the objective. In addition, it makes it difficult to accurately replicate and align the lenses with respect to each other, particularly as it is difficult to determine precisely the placement of the aperture stop. Moreover, from the standpoint of optical design it is very desirable to have the aperture stop between the two lens elements, not in front of the first lens element as shown in FIG. 6A. Currently, as shown in FIG. 6B, the only method for forming apertures of this type on monolithic lenses is to use a highly imprecise screen-printing method in which apertures 608 in opaque resins are printed onto the flat portions of the lens interfaces. The lateral accuracy of those apertures is unsuitable for their use as a system stop, which must be precisely aligned with the lenses.

In short, although monolithic lens WLO is potentially an attractive means to manufacture cheap miniaturized optics for array cameras, the current monolithic systems are directly adapted from the methods used to form lenses by injection molding. As a result, many of the techniques used in conventional polymer-on-glass WLO to ensure proper alignment are not applied, leading to alignment accuracy problems as well as to a limited lens design space. The current embodiment is directed to a novel method of forming monolithic lenses that combines the monolithic WLO lenses with substrates that hold apertures and additional structures in precise alignment, thereby reducing the limitations of conventional monolithic lens WLO.

An exemplary embodiment of the method of monolithic lenses formed in accordance with the invention is shown in FIG. 6C. As shown, in this embodiment, monolithic lenses 612 & 614, fabricated by an independent replication process, are stacked with a substrate or sheet 616 that holds apertures 618 & 620. (As discussed previously, it will be understood that the monolithic lenses may be formed of glass or polymer.) Because the apertures can be formed on the substrate with lithographic precision, it is possible to align the elements with sufficient lateral precision to function as the aperture stop. In addition, although not shown in FIG. 6C, the accuracy of the alignment in such a system is increased by cooperative alignment marks, which are disposed in the opaque layer(s) where the transparent openings for the apertures are structured, to provide a guide for the precision alignment of the lenses and apertures. In particular, in a wafer stack formed from a series of wafer surfaces, themselves formed from the elements of a number of optical arrangements, alignment marks would be formed in relation to each wafer surface. Each of the alignment marks would be cooperative with an alignment mark on an adjacent wafer surface such that when cooperatively aligned the alignment marks would aide in the lateral and rotational alignment of the lens surfaces with the corresponding apertures. Using these alignment marks results in a very high lateral alignment accuracy (on the order of a few μm) compared to having the aperture stop in the external housing, which results in an accuracy of several 10-20 μm.

In addition to apertures, the current method of providing a substrate embedded into monolithic lenses provides a base onto which any number of different structures, coatings, kinds of substrates or sheets can be applied in order to achieve a desired optical functionality. A number of these possibilities are shown in FIG. 6D, these include where there are two apertures on the front and back of the substrate that are the same size (6D1) or different sizes (6D2); where an additional IRCF coating, such as a homogenous IR cut-off filter made by a dielectric interference coating, is applied on either one or both sides of the substrate (6D3); where an additional color filter array material coating is applied to the substrate (6D4); where the sheet or substrate contains an adaptive refractive optical element allowing for the adjustment of the optical power of the element by changing an applied voltage, which can allow for the focusing of the whole lens stack, accounting for fabrication tolerances (such as BFL variations)(6D5); or where the sheet or substrate is made from an opaque material (6D6).

Other alternative designs that may be incorporated into the substrates and monolithic lenses of the instant invention, but that are not shown in the figures may include:

-   -   A substrate that is made of a material that is itself an         absorptive IRCF (or combined with a dielectric coating);     -   A structured dielectric IRCF complemented by a structured         dielectric NIR-pass filter for extended color camera modules;     -   A polarization filter disposed on the surface of the substrate         or that is preformed into the sheet;     -   A thin diffractive lens applied to the surface of the thin         substrate by replication of an additional thin polymer layer, or         also by etching the diffractive structure into the glass, front         and/or backside of the substrate surface (See Embodiment 9);         and/or     -   Standoffs or spacing structures integrated into the monolithic         lenses in addition to the actual lens surfaces in order to         provide the correct positioning between the lens surfaces and         the system aperture on the thin substrate (See Embodiment 8).

Although the above has focused on specific substrate structures and additional optical elements that the substrate embedded monolithic lenses of the instant inventions can incorporate, it should be understood that there are other features unique to the embedded substrates of the invention. For example, unlike conventional polymer on glass WLO where substrates or sheets must be sufficiently thick to allow replication of lenses thereon, the embedded substrates or sheets of the instant invention can be thin in comparison to wafer level optics standards since there is no need to replicate lenses on them. As a result, the mechanical stability and stress applied to the substrate is not an issue. In contrast, the independently replicated monolithic lenses can themselves serve to stabilize the glass substrate. Moreover, this holds true even for a singlet lens construct (i.e., one monolithic lens and one thin substrate).

Finally, while individual modifications to the basic embedded substrate monolithic lens optical array are described above, it should be understood that all or some of these features may be applied in various combinations to the substrates to obtain the desired functionality of the optical arrangement. In particular, these structures may allow for the implementation of optical arrangements that allow for contrast at spatial frequencies that are at least as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some embodiments may be 1.5, 2 or 3 times the Nyquist frequency.

Embodiment 4: Monolithic Lens Design with Embedded Aperture Stop

This embodiment of the invention provides yet another alternative for aperture and filter placement within the lens stack of polymer or glass WLO monolithic lenses. As described above with respect to Embodiment 3, the current state of the art for producing monolithic lens optical arrays is to stack the independently replicated monolithic lens wafers, dice the sandwich and package the lens cubes into an opaque housing which contains the aperture stop as an integral part at the front of the array. This methodology limits the degrees of freedom for the optical design of the objective, as well as making it extremely difficult to accurately align the lenses with respect to of the aperture stop.

Embodiment 3 of the invention described a polymer or glass monolithic lens stacked with substrates for the placement of apertures and filters. In that embodiment of the invention, a substrate, such as glass, having aperture and/or filters thereon is disposed between separately fabricated monolithic lenses. This novel optical arrangement provides addition degrees of freedom for the optical design, and increases the lateral precision of the lens-aperture-alignment. The invention described in this embodiment embeds apertures and filters directly within a monolithic lens (See FIGS. 7A to 7G), providing even more and different degrees of freedom for the optical design, while maintaining a high lithographic precision for the lateral aperture placement.

As discussed with respect to Embodiments 1 to 3, lithographic procedures for producing apertures and/or filters are well known for polymer on glass WLO, e.g., spin on photoresist, expose desired areas through a correspondingly structured photomask, develop unexposed or exposed—depending on whether a positive or negative photoresist is used—areas away; either the photoresist itself is the opaque layer the apertures are structured in, or the (CFA) filter; or the photoresist is a protective layer for a previously applied metal or dielectric coating, which prevents the etching away of that material at the desired areas when the wafer is placed into an etchant. However, for a monolithic lens typically the monolithic lenses are replicated as double-sided lenses. As a result of the unusual topography, these WLO techniques cannot be applied since a plano surface is needed for lithography.

The current invention is directed to an optical arrangement and process for producing such monolithic lenses formed of either polymer or glass with embedded apertures and filters. One embodiment of the invention is shown schematically in FIG. 7A. As shown, in this embodiment, first the thick front-side of the lens 702 is replicated as a plano-convex or plano—concave element. Preferably, the front-side stamp, which also holds the lens profiles, additionally contains alignment marks (as described above in Embodiment 3) that are further used in the other manufacturing steps to aide in the precise alignment of the various elements to the overall optical arrangement. Because the backside 704 stamp in this initial step may be simply a highly flat and/or highly polished plate, no precise lateral alignment of the two stamps is required, only wedge error compensation as well as the correct thickness needs to be ensured. These modest requirements simplify this initial process step considerably.

Once the first lens element of the arrangement is complete, apertures 706 and filters 707 are applied on the plano back-side 704 of this lens element. As these apertures must be precisely aligned, it is preferable if the front-side of the lens element is provided with alignment features (not shown) that can be used during manufacture to assist in positioning the apertures with respect to the lens by aligning the alignment marks in the photomask of the apertures and/or filters to the complementary alignment marks within the first lens layer. Alignment marks, which may be of any suitable design, provide the benefit of allowing much higher lateral alignment accuracy (few μm) compared to having the aperture stop in the external housing, which has a typical lateral alignment precision of several 10-20 μm.

Once the apertures/filters 706/707 are positioned on the back-side 704 of the first lens surface, the second lens surface 708 is replicated on the plano back-side 704, of the first lens surface 700. This second lens surface can be aligned either based on the alignment features in the first lens front-side 702, or based on alignment features within the aperture layer. However, it should be understood that aligning the second lens surface to the front-side of the first lens surface is preferred since the precision is expected to be better due to reduced error propagation when referring to this initial surface.

Although FIG. 7A provides an embodiment of a desired lens element with an embedded aperture in accordance with the current invention, a number of modifications or additional elements may be incorporated into the invention. For example, multiple filters 712, even having different physical natures, can be stacked on each other as shown in FIG. 7B. It should be understood that any desired filter may be applied in this manner, including, for example, a CFA filter or a structured IRCF filter.

In addition, although the materials used in forming the first 714 and second lens 716 surfaces have not been specified, it should be understood that the different replications may be formed from any suitable material, and that the material may be the same for both replications (as shown in FIG. 7C) or two different materials (as shown in FIG. 7D). If the same lens materials are used for the first and second replication, the inside lens surface optically vanishes (in other words: it is not visible to the light and thus provides no refraction and consequently is free of any Fresnel reflection losses). However, making the two replications from two different materials provides yet another degree of freedom in manufacturing the optical arrangements, especially for achromatization correction if the Abbe numbers of the two materials are different (See Embodiment 6).

Although only a single lens element of a single lens channel of a potential array camera or wafer arrangement is shown, it should be understood that the monolithic lenses (polymer or glass) formed in accordance with the current invention may be duplicated as necessary to form the plurality of lens stacks needed for the array camera, and that the monolithic lenses may be combined with other lens elements to realize an optical arrangement having the desired characteristics. For example, FIGS. 7E, F and G provide schematic diagrams for monolithic lens arrangements suitable for array camera architectures. FIGS. 7E and 7F show two different monolithic doublet designs, while FIG. 7G shows a triplet design. The arrows in the diagrams indicate where an embedded system aperture or “stop” has been disposed between the monolithic lenses on one of the planar surfaces of the monolithic lenses.

In summary, while there is no doubt that monolithic lens WLO is very attractive for manufacturing optics for cheap miniaturized cameras, current methods are adapted directly from techniques used for injection molded lenses. As a result, several benefits of polymer-on-glass WLO are not used, leading to alignment accuracy problems as well as to limited lens design degrees of freedom. The combination of monolithic lenses and lithographic technologies described in the current embodiment allows for the manufacture of precise apertures and additional structures for monolithic lenses and their alignment to the monolithic lenses. This, in turn, allows for greater flexibility in the choice of the z-position for aperture stop and filters, increased lateral accuracy of the lens-aperture alignment when compared to conventional stops that are integrated into the lens housing, and the plano intermediate surface of the monolithic lens allows application of lithographic technologies for structuring the apertures while maintaining the benefits of the monolithic lens over the polymer on glass WLO. In particular, these structures may allow for the implementation of optical arrangements that allow for contrast at spatial frequencies that are at least as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some embodiments may be 1.5, 2 or 3 times the Nyquist frequency.

Embodiment 5: Three-Element Monolithic Lens Design

This embodiment of the invention provides yet another alternative for aperture and filter placement within the lens stack of polymer or glass WLO monolithic lenses. As described above with respect to Embodiments 3 and 4, the current state of the art for producing monolithic lens optical arrays is to stack the independently replicated monolithic lens wafers, dice the sandwich, and package the lens cubes into an opaque housing which contains the aperture stop as an integral part at the front of the array. This methodology limits the degrees of freedom for the optical design of the objective, as well as making it extremely difficult to accurately align the lenses with respect to the aperture stop.

As described in both Embodiment 3 and 4, a major problem of the monolithic lens process is that there is no suitable method to provide a precise system aperture (array) as well as (color- or IR cut-off-) filters within the lens stack of WLO monolithic lenses. The current embodiment provides another alternative to bring a lithographically fabricated aperture (stop), as well as filters into a polymer or glass WLO monolithic lens stack. In particular, this embodiment builds on the design introduced in Embodiment 4, in which one element of the lens design is forced to have a plano surface where the aperture and filters can be lithographically structured. As described above, in such an embodiment the plane side of the either plano-convex or plano-concave element can be used as substrate for the subsequent lithography step. The current embodiment provides a three-element optical arrangement using this plano-element monolithic design.

As shown schematically in FIG. 8A, the basic three-element design of the instant embodiment is characterized by the following properties:

-   -   A first plano-convex lens element 800 that has a convex first         surface 802 as well as a plane second side 804 carrying the         system aperture stop as well as required filter structures.         Preferably, this first element is made from a first (low         dispersion, low refractive index) lens material.     -   A second concave-convex lens element 806 that has a concave         first surface 808, bent towards the object side and a convex         second surface 810, where the concave first surface 808 is very         shallow and this concave surface is very close to the plane         (second) surface 804 of the first element 800. Again, preferably         this lens element is made from a first (low dispersion, low         refractive index) lens material. In addition, in a preferred         embodiment, the surface profile of this shallow concave surface         808 close to the system aperture stop 804 is the one         optimized/adapted to the specific narrow spectral band of the         different color channels of an array camera.     -   A third menisc-lens element 812 that has a concave first surface         813 and a convex second surface 814, both bent towards the         object side. This lens is preferably a strongly bent         concave-convex lens that is made from a second (high dispersion,         high refractive index) lens material. This third lens element is         disposed adjacent to the image sensor cover glass 816, which         itself is placed in above the image sensor 817.

This design has two significant advantages, first, a plane, substrate-interface-like, surface (e.g., surface 804 in FIG. 8A) is introduced in the lens stack. This plane, substrate-interface-like-surface can be used to apply a highly accurate (sub- or few-micron centering tolerance) aperture stop by photolithography. This is a major improvement in precision as the current state-of-the-art (screen printing)) has a centering tolerance of around 20 μm, which is insufficient for high image quality array cameras. In addition, color filters (CFA) and/or dielectric filters (IRCF) or other structures, which need a planar substrate, can be applied to this planer surface.

Second, the design provides a surface which is very close to the aperture stop (first surface of the second element) whose surface profile can be optimally adapted to the specific narrow spectral band of the different color channels of an array camera, as will be described in greater detail below with reference to the data-plots in FIGS. 8E to 8J, below.

Although one specific embodiment of the three-element monolithic lens design is shown in FIG. 8A, it should be understood that there are many different implementations of the above general design principle, as shown and described in FIGS. 8B to 8D, below. In particular, FIG. 8B shows a modification of the basic optical arrangement in which the curvature at edges 818 of the second surface 820 of the second lens element 806, and at the edges 820 of both surfaces of the third lens element 812 quickly change slope towards these edges. Such a design has the benefit of allowing for a decrease in the steepness at the edge of the first surface of the third element. FIG. 8C shows a modification of the basic optical arrangement in which the first element 800 is thinner and the third element 812 is in consequence made thicker. Such a design, however, requires an increase in the steepness of the first surface 822 of the third element 812. FIG. 8D shows a modification of the basic optical arrangement in which the first element 800 is thinner and the third element 812 is thicker, and where the curvature of the surface at the edge 818 of the second surface 820 of the second element 806 quickly changes slope towards the edge formed thereof. Again, this design has the benefit of decreasing the steepness of the first surface of the third element 812.

In another alternative embodiment that can be applied to any of the arrangements described above, the first lens element can be made as a polymer-on-glass wafer level lens instead of a (polymer or glass) monolithic lens. This would mean that there would be a (comparatively thick) glass substrate where the aperture stop and filters would be lithographically applied to the second side thereof, and the first lens surface would be replicated on the first side. This “hybrid lens” would then be stacked with the second and third lens elements, which would both be fabricated by a monolithic lens process. Alternatively, the second lens element could be a hybrid lens in which the polymer lens surfaces would be replicated on both sides of a thinner glass substrate. However, the third lens element would always be monolithic due to the menisc-nature of this lens. There are several advantages of this combination of technologies, namely:

-   -   The first lens is a comparatively thick element with a plane         backside and a shallow front lens surface, so little is lost         functionally by inserting the glass substrate.     -   The use of the substrate provides additional         robustness/stability/planarity during the application of the         aperture and filters due to the presence of the glass substrate.         In addition, the first lens surface quality can be improved due         to the stable glass substrate it is replicated on.     -   There is less (especially lateral) thermal expansion than with a         purely monolithic lens since the thick glass substrate with         about 1/10^(th) of the CTE of the polymer serves as a permanent         carrier of the overall lens stack providing the majority of the         mechanical integrity.

FIGS. 8E to 8J provide data plots showing the optical properties of these novel three-element monolithic optical arrangements. In particular, FIGS. 8E to 8H, provide plots of MTF vs field (8E), Strehl ratio vs. field (8F), distortion and field curvature (8G) as well as MTF vs. spatial frequency (8H) of the lens design shown in FIG. 8A for a green channel. Meanwhile, FIGS. 8I & 8J provide plots of MTF vs field (8I) and Strehl ratio vs. field plots (8J) of the corresponding blue channel of the design shown in FIG. 8A. It should be noted that only the surface profile of the first surface 808 of the second element 806 needs to be altered to optimize the optical arrangement for a different color channel. As can be seen from this data, the three-element monolithic optical arrangement provides high image quality (See, e.g., FIGS. 8E to 8H) comparable to that of a design using a field-flattening element (such as e.g. applied in Embodiment 2 above). Moreover, because only three lens elements need to be stacked in the current design it is much more suitable for manufacture using a monolithic method compared to complex conventional multi-element optical arrangements.

The lens material sequence (i.e., in the above embodiment high Abbe number, high Abbe number, low Abbe number) for the positive, positive, negative elements provides an efficient way of achromatization for each considered channel's spectral band (See Embodiment 6). For example, even for regular dispersion materials the blue channel performance seen in the exemplary embodiment is much better than can be obtained for regular designs (See, e.g., FIGS. 8I and 8J). Moreover, even though for array cameras each channel only has to perform well for a comparatively narrow spectral band, this achromatization still increases the performance since both the central wavelength and the wavelengths at the sides of the used spectral band of the considered channels are imaged sharply.

In many embodiments the MTF characteristics of the three element monolithic optical arrangement allow for contrast at spatial frequencies that are at least as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some embodiments may be 1.5, 2 or 3 times the Nyquist frequency.

Embodiment 6: Different Lens Material Sequences for Channels that Work with Different Spectral Bands

Although the above embodiments have focused on specific optical arrangements, it will be understood that the current invention is also directed to novel methods and materials for modifying the optical properties of the various lens elements of these novel optical arrangements. For example, in a first such embodiment, the invention is directed to the use of different lens materials (or combinations thereof) for different color channels.

As shown in FIGS. 9A, 9B and 9D, using conventional array optics, channel specific color-focusing in an array camera so far is limited to adjusting at least one surface, (i.e., the surface profiles of front- and/or backside for lens 900 or lens 902) for channel-specific correction of the back-focal-length (BFL) for axial color. However, the material sequence for the different elements of the lens channels is always the same, independently of the color the considered channel is supposed to work for. It should be noted that the only difference between the lens arrays in FIGS. 9A and 9B is that in FIG. 9B the supporting structure of the array is opaque and going through the full length of a channel. (For reference the specific color channel red “R”, green “G”, or blue “B” is indicated by the letter in the schematics provided.) However, while there are several materials with high refractive index, which are beneficial in achieving strong refractive power with shallow lens profiles, these materials usually also show high spectral dispersion. In particular, typically one has a choice between high refractive index and low Abbe number (high dispersion) materials (“flint-like”), and low refractive index and high Abbe number (low dispersion) materials (“crown-like”). Indeed, for (lens-) polymers the above connection is always valid, dispersion always increases with increasing refractive index. If this physical connection of the two material properties was not the case, from an optical design standpoint the choice would usually be made to use a high index material (so that the surface of the lens can be shallow, while still maintaining strong optical power) with low dispersion (so that the difference in refractive power for different wavelengths would be small). However, as stated above, such polymer materials are not available, so one has to choose if the priority is on either one of the two properties.

While using a flint-like material can be acceptable for the green and red channels, it can impact the blue spectral band disproportionately, because dispersion is related to the change of refractive index with wavelength and usually this change is stronger in the blue spectral band than in the green and red ones. In short, while green and red channels would profit from the use of such a high index material, the blue channel would show too strong axial color aberration due to the related large dispersion. The current embodiment takes advantage of the array nature of the camera to allow the use of a different material sequence in the blue channel (as shown in FIG. 9C), which may be less optimal with regard to refractive index, but shows much less spectral dispersion. Using such a method makes it possible to adapt one or more lens profiles to optimize a channel to its respective spectral band, and to optimize the material sequence used, e.g., here changing the material sequence for the blue channel.

It should be understood that the ability to modify the material sequence to optimize it for a specific color channel may be used in injection molded lenses (as shown in FIG. 9C) or with a specific type of polymer on glass “WLO” lenses (as shown in FIGS. 9D and 9E) (where the lens material is dispensed in separated islands prior to the replication (e.g. by some device similar to an ink jet) other than with the wafer scale puddle dispense). For example, in an injection molding process a “crown-like” polymer material would, e.g., be PMMA, Zeonex (COP) and Topas (COC), and a “flint-like” material would be Polycarbonate (PC) and Polystyrene (PS). Finally, as described in reference to the invention more broadly, the material sequence may also be modified in glass molded lenses as well.

Embodiment 7: Polymer on Glass WLO Novel Aperture Stop

Again, although the above embodiments have focused on specific optical arrangements, it will be understood that the current invention is also directed to novel methods and materials for modifying the optical properties of the various lens elements of these novel optical arrangements. In a second such embodiment, the invention is directed to a novel arrangement that could be used in any polymer on glass WLO, in which the aperture stop is disposed on a separate substrate in the air spacing between lenses.

As shown schematically in FIG. 10A, in the conventional polymer on glass WLO, apertures 1000, and in particular the aperture stop, is structured on the supporting glass substrate 1002, and then the lenses 1004 and 1006 are replicated above the aperture. In the current embodiment, an additional layer 1010 is introduced between the lens substrates 1012 and 1014, upon which the aperture stop 1016 is disposed. In such an embodiment, the apertures may be made using any suitable technique, such as, for example, transparent openings in an opaque layer (e.g. metal, metal oxide or opaque photoresist) on a thin (glass) substrate, be (metal) etch mask, etc. Positioning the aperture in the air space between the lenses as an additional diaphragm, or as an aperture on very thin (glass) sheet, rather than forcing it to be on the substrate under the polymer lens yields a number lens designs benefits in terms of MTF performance. In contrast, constraining the apertures to the substrate surfaces for a large variety of lens designs reduces performance by 5-10% over the full field.

Embodiment 8: Polymer Injection- or Precision Glass Molded Lens Arrays

Again, although the above embodiments have focused on specific optical arrangements, it will be understood that the current invention is also directed to novel methods of manufacturing the various lens elements of these novel optical arrangements. In a third such embodiment, the invention is directed to a novel method of manufacturing optical arrangements for use in camera arrays in which stand-offs and mechanical self-alignment features for assembly are included in the manufacture of the lenses.

In conventional polymer injection- or precision glass molding techniques, a cavity for producing one lens array (front and back side) is provided. The mold cavity is filled with a suitable material, such as, for example, PMMA or polycarbonate for polymer injection molding or preferably “low-Tg-glasses” such as e.g. P-BK7 or P-SF8 for precision glass molding. Then for conventional camera assembly alignment barrels are used in which the molded lenses are stacked and glued together. In an array camera this method does not provide sufficient alignment precision. The current invention proposes a method in which mechanical alignment features are provided in the lens mold. In other words, during the polymer injection- or precision glass molding process, not only the lens features are replicated into the array, nor even optical alignment marks, but also small mechanical features are formed into the front- and back-faces of the elements, which allow mechanical self-alignment with the adjacent array, such as, for example, complementary rings and spherical segments, pins and holes, cones and pyramids with complementary (and correspondingly shaped) cavities on the opposing element.

Two such embodiments are shown in FIGS. 11A and 11B. For example, FIG. 11A shows an example in which spacing structures/stand-offs 1100 are included in injection molding process of the lens array 1102. For polymer injection molding it is desirable in such an embodiment that the material combination choice and spacer thickness provide athermalization. In short, it is desirable that the do/dT of the lens material is compensated by the CTE of spacer. Alternatively, the same technique may be used in independently fabricated spacer or hole matrix structures. In such an embodiment, as shown in FIG. 11B an (opaque) cavity array 1104 is used as the supporting structure into which the lenses 1106 are replicated.

Embodiment 9: Waveplate or Multilevel Diffractive Phase Elements

In yet another embodiment, the invention is directed to a waveplate or multilevel diffractive phase element (“kinoform”) for channelwise correction of chromatic aberrations in an array camera, and an iterative fabrication process tolerance compensation.

Currently one of the three or four lens surfaces in the objective is channel-wisely optimized in order to correct for chromatic aberrations of the specific channel (see, e.g., U.S. Pat. Pub. No. US-2011-0069189-A1, the disclosure of which is incorporated herein by reference). For this a special mastering regime for the array tool is required since slightly different lenses need to be fabricated within one array. The overall lens property can be considered as the sum of the average required shape, and the individual color correction. However, the total profile has to be implemented by machining, which adds difficulty for diamond turning mastering techniques. (See, e.g., U.S. patent application Ser. No. 13/050,429, the disclosure of which is incorporated herein by reference.)

Lens design experiments show that it could be beneficial to separate the channel-averaged optical power from the channel-specific optical power, which is then related to the color correction. The current embodiment is directed to an optical arrangement that accomplishes this channel-wise correction using a channel-specific surface that introduces only a minor wavefront deformation of exactly the size needed to distinguish the channels from each other so that they are perfectly adapted to their individual waveband. The wavefront deformation required for this is typically on the order of only several wavelengths. As a result, this surface can either be a very shallow refractive surface (“waveplate”), a “low frequency” diffractive lens (“kinoform”) or radial symmetric multilevel diffractive phase element. As a result, there is no longer a need to machine slightly different lenses (e.g. by diamond turning), but all the lens surfaces within one array could be equal. In addition, different technologies can be used for the origination of arrays of such channel specific surfaces, including, “classical” lithographic microoptics fabrication technologies such as laser beam writing, gray scale lithography, E-beam lithography, binary lithography, etc. Moreover, these techniques are more suitable for manufacturing slight differences in the surfaces comprised in the array, they have much higher lateral precision than mechanical origination means, and they provide much higher thickness precision (i.e., phase accuracy of the surface).

In addition, it is possible to use the above advantages to compensate for the effects of systematic fabrication errors on image quality. A flow chart of this manufacturing method is provided in FIG. 12. As shown, in a first step the optical channels of the array camera are designed. This at this time includes the nominal shape of the waveplate or multilevel diffractive phase element which is used for channel-wise color aberration correction only. In a second step the array lens module is fabricated by a suitable means (as described above). Then in step three, the systematic deviation of the lens prescriptions from design expectations are determined by lens surface metrology, centering- and distances-measurements are performed, as well as the systematic deviation of optical performance from design expectation are experimentally determined. The module is then redesigned (Step Four) by adapting the above aberration correcting surfaces in order to compensate for all determined systematic errors elsewhere in the stack (profile, xy-position, thickness, etc.). In step six the array lens module is re-fabricated. And finally, the back focal length is used as a last compensator for all remaining systematic deviations (Step Seven). The advantage of this method is that there are more degrees of freedom, rather then being able to change back focal length only, as is the case in conventional system. This leads to better overall performance, potentially without impacting optical magnification.

General Considerations

Finally, it will be understood that in any of the above embodiments, multiple identical or slightly varied versions of such optical arrangements may be collocated next to each other in an array. The variation of the optical arrangements within an optical array is related to e.g. one of the following optical performance parameters of the considered channel: “color” (identifying the narrow spectral band the considered optical channel is supposed to image of the overall spectral band the whole system shall image), e.g. RGB (and NIR), field of view (FOV), F/#, resolution, object distance, etc. Most typical is the differentiation into different colors, but different FOVs, for example, would allow for different magnifications while different F/#s would allow for different sensitivities and so forth. In many embodiments the MTF characteristics of the optical arrangements are configured to allow for contrast at spatial frequencies that are at least as great as the resolution of the high resolution images synthesized by the array camera, and significantly greater than the Nyquist frequency of the pixel pitch of the pixels on the focal plane, which in some embodiments may be 1.5, 2 or 3 times the Nyquist frequency.

DOCTRINE OF EQUIVALENTS

While particular embodiments and applications of the present invention have been illustrated and described herein, it is to be understood that the invention is not limited to the precise construction and components disclosed herein and that various modifications, changes, and variations may be made in the arrangement, operation, and details of the methods and apparatuses of the present invention without departing from the spirit and scope of the invention as it is defined in the appended claims. 

What is claimed is:
 1. An array camera, comprising: a plurality of cameras, where each camera includes separate optics, and a plurality of light sensing elements; a processor; wherein the optics of each of the plurality of cameras are formed so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras and so that each shift includes a sub-pixel shifted view of the scene; wherein the light sensing elements of a given camera in the plurality of cameras have a pixel pitch defining a camera Nyquist frequency, and where the optics of the given camera have a modular transfer function (MTF) such that the optics optically resolve contrast at spatial frequencies higher than the camera Nyquist frequency (Ny); wherein the optics of each camera in the plurality of cameras comprise a five-surface optical arrangement comprising: a first lens element having a first convex proximal surface and a first concave distal surface, wherein the diameter of the first convex surface is larger than the diameter of the first concave surface; a second lens element having a second concave proximal surface and a second convex distal surface, wherein the diameter of the second concave proximal surface is smaller than the diameter of the second convex surface; and a third lens element having a third concave proximal surface and a third planar distal surface, wherein the diameter of the third concave proximal surface is larger than the diameters of any of the surfaces of the first and second lens elements; wherein the first, second and thirds lens elements are arranged sequentially in optical alignment with an imager positioned at the distal end thereof; and wherein software directs the processor to: obtain a set of low resolution images from the plurality of cameras, where each of the low resolution images include aliasing patterns; determine disparity between pixels in the set of low resolution images to generate a depth map from a reference viewpoint, where the depth map indicates distances to surfaces of scene objects from the reference viewpoint; synthesize a high resolution image using the set of images and the depth map, where the spatial frequency at which the high resolution image displays contrast is greater than the camera Nyquist frequencies (Ny) of the plurality of cameras and less than the spatial frequencies at which the optics of each camera optically resolve contrast.
 2. The array camera of claim 1, wherein the aliasing patterns in each image in the set of the low resolution images include differences due to the different sub-pixel shifted views of the scene provided by the optics of the plurality of cameras.
 3. The array camera of claim 1, wherein the software further directs the processor to synthesize a high resolution image by: determining scene dependent geometric corrections to apply to the pixels from each of the images within the set of low resolution images to eliminate disparity; and fusing the set of low resolution images using the scene dependent geometric corrections.
 4. The array camera of claim 3, wherein the software further directs the processor to perform super resolution processing to reconstruct the high resolution image using the fused image, the scene dependent geometric corrections, and the set of low resolution images.
 5. The array camera of claim 1, wherein the MTF of the optics of a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 1.5 times the camera Nyquist frequency Ny.
 6. The array camera of claim 1, wherein the MTF of the optics a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 2 times the camera Nyquist frequency Ny.
 7. The array camera of claim 1, wherein the MTF of the optics a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 3 times the camera Nyquist frequency Ny.
 8. The array camera of claim 1, wherein the MTF of the optics a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 10% greater than the camera Nyquist frequency Ny multiplied by the ratio of the resolution of the high resolution image to the resolution of the images in the set of low resolution images.
 9. The array camera of claim 1, wherein the MTF of the optics a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 20% greater than the camera Nyquist frequency Ny multiplied by the ratio of the resolution of the high resolution image to the resolution of the images in the set of low resolution images.
 10. The array camera of claim 1, wherein the MTF of the optics a given camera in the plurality of cameras is such that the optics optically resolve contrast at spatial frequencies at least 30% greater than the camera Nyquist frequency Ny multiplied by the ratio of the resolution of the high resolution image to the resolution of the images in the set of low resolution images.
 11. The array camera of claim 1, wherein the camera array is a monolithic integrated module comprising a single semiconductor substrate on which all of the sensor elements are formed, and optics including a plurality of lens elements, where each lens element forms part of the separate optics for one of the cameras.
 12. The array camera of claim 1, wherein each of the cameras includes one of a plurality of different types of filter.
 13. The array camera of claim 12, wherein cameras having the same type of filter are uniformly distributed about the geometric center of the camera array.
 14. The array camera of claim 1, wherein cameras that include different types of filter operate with different operating parameters.
 15. An array camera, comprising: a plurality of cameras, where each camera includes separate optics, and a plurality of light sensing elements; a processor; wherein the optics of each of the plurality of cameras are formed so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras and so that each shift includes a sub-pixel shifted view of the scene; wherein the light sensing elements of a given camera in the plurality of cameras have a pixel pitch defining a camera Nyquist frequency, and where the optics of the given camera have a modular transfer function (MTF) such that the optics optically resolve contrast at spatial frequencies higher than the camera Nyquist frequency (Ny); wherein the optics of each camera in the plurality of cameras comprise a five-surface optical arrangement comprising: a first lens element having a first convex proximal surface and a first concave distal surface, wherein the diameter of the first convex surface is larger than the diameter of the first concave surface; a second lens element having a second concave proximal surface and a second convex distal surface, wherein the diameter of the second concave proximal surface is smaller than the diameter of the second convex surface; and a third lens element having a third concave proximal surface and a third planar distal surface, wherein the diameter of the third concave proximal surface is larger than the diameters of any of the surfaces of the first and second lens elements; wherein the first, second and thirds lens elements are arranged sequentially in optical alignment with an imager positioned at the distal end thereof; and wherein software directs the processor to: obtain a set of low resolution images from the plurality of cameras, where each of the low resolution images includes different aliasing patterns due to the different sub-pixel shifted views of the scene provided by the optics of the plurality of cameras; determine disparity between pixels in the set of low resolution images to generate a depth map from a reference viewpoint, where the depth map indicates distances to surfaces of scene objects from the reference viewpoint; and synthesize a high resolution image using the set of images and the depth map by: determining scene dependent geometric corrections to apply to the pixels from each of the images within the set of low resolution images to eliminate disparity; fusing the set of low resolution images using the scene dependent geometric corrections; and performing super resolution processing to reconstruct the high resolution image using the fused image, the scene dependent geometric corrections, and the set of low resolution images; wherein the spatial frequency at which the high resolution image displays contrast is greater than the camera Nyquist frequencies (Ny) of the plurality of cameras and less than the spatial frequencies at which the optics of each camera optically resolve contrast.
 16. An array camera, comprising: a plurality of cameras, where each camera includes separate optics, and a plurality of light sensing elements; a processor; wherein the optics of each of the plurality of cameras are formed so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras and so that each shift includes a sub-pixel shifted view of the scene; wherein the light sensing elements of a given camera in the plurality of cameras have a pixel pitch defining a camera Nyquist frequency, and where the optics of the given camera have a modular transfer function (MTF) such that the optics optically resolve contrast at spatial frequencies higher than the camera Nyquist frequency (Ny); wherein the optics of each camera in the plurality of cameras comprise a three-element monolithic lens optical arrangement comprising: a first lens element having a first convex proximal surface and a first plano distal surface; a second lens element having a second concave proximal surface and a second convex distal surface; a third menisci lens element having a third concave proximal surface and a third convex distal surface; at least one aperture disposed on the first plano distal surface; and wherein the first, second and third lens elements are arranged sequentially in optical alignment with the aperture stop and an imager; and wherein software directs the processor to: obtain a set of low resolution images from the plurality of cameras, where each of the low resolution images includes different aliasing patterns due to the different sub-pixel shifted views of the scene provided by the optics of the plurality of cameras; determine disparity between pixels in the set of low resolution images to generate a depth map from a reference viewpoint, where the depth map indicates distances to surfaces of scene objects from the reference viewpoint; and synthesize a high resolution image using the set of images and the depth map by: determining scene dependent geometric corrections to apply to the pixels from each of the images within the set of low resolution images to eliminate disparity; fusing the set of low resolution images using the scene dependent geometric corrections; and performing super resolution processing to reconstruct the high resolution image using the fused image, the scene dependent geometric corrections, and the set of low resolution images; wherein the spatial frequency at which the high resolution image displays contrast is greater than the camera Nyquist frequencies (Ny) of the plurality of cameras and less than the spatial frequencies at which the optics of each camera optically resolve contrast.
 17. An array camera, comprising: a plurality of cameras, where each camera includes separate optics, and a plurality of light sensing elements; a processor; wherein the optics of each of the plurality of cameras are formed so that each camera has a field of view that is shifted with respect to the field-of-views of the other cameras and so that each shift includes a sub-pixel shifted view of the scene; wherein the light sensing elements of a given camera in the plurality of cameras have a pixel pitch defining a camera Nyquist frequency, and where the optics of the given camera have a modular transfer function (MTF) such that the optics optically resolve contrast at spatial frequencies higher than the camera Nyquist frequency (Ny); wherein the optics of each camera in the plurality of cameras comprise a three-element monolithic lens optical arrangement comprising: a first lens element having a first convex proximal surface and a first plano distal surface; a second lens element having a second concave proximal surface and a second convex distal surface; a third menisci lens element having a third concave proximal surface and a third convex distal surface; at least one aperture disposed on the first plano distal surface; and wherein the first, second and third lens elements are arranged sequentially in optical alignment with the aperture stop and an imager; and wherein software directs the processor to: obtain a set of low resolution images from the plurality of cameras, where each of the low resolution images include aliasing patterns; determine disparity between pixels in the set of low resolution images to generate a depth map from a reference viewpoint, where the depth map indicates distances to surfaces of scene objects from the reference viewpoint; synthesize a high resolution image using the set of images and the depth map, where the spatial frequency at which the high resolution image displays contrast is greater than the camera Nyquist frequencies (Ny) of the plurality of cameras and less than the spatial frequencies at which the optics of each camera optically resolve contrast. 